Wednesday

January 28, 2015

January 28, 2015

Number of results: 118,292

**Math - Derivative of a polynomial function(check)**

The red squirrel population, p, in a neighborhood park can be modelled by the function p(t)= srqt(210t+44t^2), where t is time in year. a) Determine the rate of growth of the squirrel population at t= 2years Ans: find the 1st derivative and substitute 2 in the function. b) ...
*October 16, 2010 by Anonymous*

**Math - derivative of sinusoidal (check)**

a) Find a function y=f(x) that satisfies the differential equation dy/dx = fifth derivative. This is one of the questions in my practice test, I tried the basic equation of the trig function such as f(x)= sin(x) or f(x)=-sin(x) however in the fourth derivative they reach the ...
*November 29, 2010 by Farah*

**Math:Polynomial Functions**

h(x) = -7x I was thinking that this was not a polynomial function because -7x is just one term making it a monomial but the answer key says it is a polynomial function. Could someone explain why that is so? Thanks :D
*September 8, 2009 by Lena*

**Math**

Can you please check my answers. Determine whether the function is a polynomial function. f(x) = 4x + 4x^5 -Yes f(x) = 4 - 1/x^2 -No
*October 15, 2007 by Jan*

**math**

Let f be a real value function and x Î Df then 0 lim ( ) ( ) h f x h f x ® h + - when it exists is called A) The derivative of f at a B) The derivative of f at h C) The derivative of f at x D) The derivative of f at x = h
*November 2, 2012 by Zaheer*

**Polynomial Function**

Could you please check my answers? Find an nth degree polynomial function with real coefficients satisfying the given conditions. 1. n=3; 3 and i are zeros; f(2)=20 -I got: f(x)=-4^3+12x^2-4x+12 3.n=3;4 and i zeros;f(-3)=60 -I got:f(x)=6x^3+24x^2+6x+24
*October 9, 2007 by Soly*

**math**

I have the same project as Jill down there... -What is the definition of a derivative? -What does the derivative of a function tell you (in english) ? Then I need an example of the power rule, quotient rule, and chain rule. -What information does the FIRST derivative tell you ...
*May 19, 2011 by Teenie*

**polynomial function**

Please check my answers. Find the y-intercept of the polynomial function. f(x) = -x2 - 2x + 8 I got:y=8 f(x) = (x + 1)(x - 6)(x - 1)2 I got: y=-6 f(x) = -x2(x + 6)(x2 - 1) I got:y=0
*October 15, 2007 by Ann*

**calculus**

f(x) = 6x^2 -8x +3 how would I find the most general antiderivative of the function. I also have to check my answer by differentiation. Would I have to find the derivative first? (I got 12x -8) What are the steps to solving a problem like this? No, don't do the derivative ...
*December 7, 2006 by Me*

**Math - polynomial function**

Write a polynomial function with integral coefficients having the given roots. 1.) 0, -1/2, 6 2.) +or- 5i
*September 12, 2010 by Jason*

**CAL**

The _____________ of a function is a formula for the slope of the tangent line to that function at any point x. When the function is defined as f(x), the derivative will be written as __________or ________. When the function is written in the form of y =, the derivative is ...
*November 6, 2014 by StevE*

**calculus**

You are given the following function. f(x)= (8+x)/(1-8x) (a) Find the derivative of the function using the definition of derivative. (b) Give the domain of the function. c) Give the domain of derivative of function?
*February 28, 2010 by isha*

**Calculus**

Use a symbolic differentiation utility to find the derivative of the function g(x)=xã((x^2)+1). Use the utility to graph the function and is derivative on the same set of coordinate axes. Describe the behavior of the function that corresponds to any zeroes of the graph of the...
*November 11, 2007 by Jon*

**calculus**

Find the derivative of the function using the definition of derivative. g(t)= 9/sqrt(t) g'(t)= state the domain of the function and the domain of the derivative (use interval notation)
*September 19, 2012 by maura urgent!!*

**Calculus**

Explain the global optimization process for a continuous function over a closed interval. Be sure to identify all steps involved and clearly explain how the derivative is utilized in this process. Does this have to do with the first derivative rule or second derivative rule ...
*October 25, 2008 by George*

**Calculus**

Explain the global optimization process for a continuous function over a closed interval. Be sure to identify all steps involved and clearly explain how the derivative is utilized in this process. Does this have to do with the first derivative rule or second derivative rule ...
*October 27, 2008 by George*

**Graphs of polynomial functions**

What do polynomial functions look like? And what can be consider a polynomial function? Would a graph that is like an upside down V be considered as a graph of a polynomial function?
*October 9, 2007 by Jessi*

**Math**

Suppose you have a graph of a polynomial function and you can see that the function increases without bound on both left and right ends, has 4 real zereos and has 5 turning points. Based on this information, what is the minimum degree of the polynomial?
*January 27, 2013 by Suzy*

**Math - Derivative of a polynomial function**

A flaming arrow is shot into the air to mark the beginning of the a festival. Its height, h, in meters after t seconds can be modelled by the function h(t)=-4.9t^2+24.5t+2 How fast is the arrow traveling when it hits the ground? Explain how you arrived at your answer. (prior ...
*October 11, 2010 by Anonymous*

**Polynomial Functions**

What do polynomial functions look like? And what can be consider a polynomial function? Would a graph that is like an upside down V be considered as a graph of a polynomial function?
*October 10, 2007 by Jessi*

**Polynomial Functions-help**

What do polynomial functions look like? And what can be consider a polynomial function? Would a graph that is like an upside down V be considered as a graph of a polynomial function?
*October 12, 2007 by Jessi*

**Math - Derivative of a polynomial function**

The population, p in thousands of bacteria colony can be modelled by the function p(t)=200+20t-t^2, where t is the time, in hours, t is greater than or equal to zero. a) Determine the growth rate of the bacteria population at each of the following times. i>3h ii>8h Ans: ...
*October 16, 2010 by Anonymous*

**Calc**

a) y =ln(x-1) find dy/dx=? b) y=3 ln x - ln (1/x) where x >0, dy/dx= ? My teacher says the answers are a) (2x)/(x^2-1) and b) 4/x I am not sure how you find the derivative when they involve ln. Could you please explain to me how to get these answers? I have a quiz on them ...
*January 16, 2007 by Jamie*

**calculus**

Could someone check my reasoning? thanx Find the derivative of the function. sin(sin[sinx]) I need to use the chain rule to solve. So I take the derivative sin(sin[sinx) first. Then multiply that by the inside which is the derivative of sin[sinx]. And multiply that by ...
*May 7, 2009 by XCS*

**Calculus (Global Max)**

Explain the global optimization process for a continuous function over a closed interval. Be sure to identify all steps involved and clearly explain how the derivative is utilized in this process. Does this have to do with the first derivative rule or second derivative rule ...
*October 25, 2008 by George*

**Calc. checking answer**

Determine whether or not each of the following functions is invertible. Give your reasons for believing the function is invertible or not. Please check this for me. I am not sure if I am adequately explaining my answer and if my answer is right. a) y= log10(1 + 1/x) y'= ((1/(1...
*March 23, 2011 by C*

**Polynomial Function**

Could you help me with the following problem, I dont understand how to do it. Find an nth degree polynomial function with real coefficients satisfying the given conditions. 1. n=3; 3 and i are zeros; f(2)=20
*October 9, 2007 by Jen*

**Math**

How can I determine a value of gradient from a graph if the line is curved. (not a straight line) This is where Calculus comes in If a graph is a curve, then the gradient (slope) of the curve is the slope of the tangent that you draw at a particular point on that curve. You ...
*May 22, 2007 by Paul*

**Math**

0.08x^3 + 0.6x+2.8 absolute-value function Rational function Another polynomial function Quadratic function
*November 23, 2013 by Anonymous*

**Calculus Please check**

Please check my answers and let me know if I did something wrong. Thank you! Find the partial derivative of x, and the partial derivative of y, then the partial derivative of x (1,-1), and the partal derivative of y (1,-1). f(x,y) = x^4 y^2 -x here is what I got @f/@x = 3x^3 y...
*November 20, 2014 by Jennifer *

**Algebra**

Please check my answers. Thanks! Solve the polynomial equation. In order to obtain the first root, use synthetic division to test the possible rational roots. 5.2x^3-13x^2+22x-8=0 -My answer:{1/2,2,4} 6.x^3-8x^2-x+8=0 -My answer: {1,-1,8} Find the rational zero of the ...
*October 9, 2007 by Jes*

**Calculus--> bobpursley**

How do you get m=0? from taking the second derivative? does c=1? Can you check my work on how I get the derivative of R=M^2(c/2-m/3) NEXT R=1/2(CM^2)-1/3(M^3) NEXT dR/dM=CM-M^2. I checked in the back, and that was the answer for the first part of the equation. Isn't the ...
*May 30, 2007 by Anonymous*

**calculus**

is the function f(x)=x^2 increasing on decreasing at x = -1. can anyone please check my reasoning: the value of the derivative of the function at x=-1 is -2, so that means the slope of the tangent line to the graph at that is a negative value so the function is decreasing at x...
*June 29, 2009 by jeff*

**Calculus**

Determine whether or not each of the following functions is invertible. Give your reasons for believing the function is invertible or not. Please check this for me. I am not sure if I am adequately explaining my answer and if my answer is right. a) y= log10(1 + 1/x) y'= ((1/(1...
*March 23, 2011 by C*

**Calculus**

A cubic polynomial function f is defined by f(x) = 4x^3 + ax^2 + bx + k? A cubic polynomial function f is defined by: f(x) = 4x^3 + ax^2 + bx + k where a, b, and k are constants. The function f has a local minimum at x= -1, and the graph of f has a point of inflection at x= -2...
*February 8, 2011 by Leanna*

**Calculus**

A cubic polynomial function f is defined by f(x) = 4x^3 + ax^2 + bx + k? A cubic polynomial function f is defined by: f(x) = 4x^3 + ax^2 + bx + k where a, b, and k are constants. The function f has a local minimum at x= -1, and the graph of f has a point of inflection at x= -2...
*February 9, 2011 by Leanna*

**calc**

d/dx integral from o to x of function cos(2*pi*x) du is first i do the integral and i find the derivative right. by the fundamental theorem of calculus, if there is an integral from o to x, don't i just plug the x in the function. the integral of the problem is cos*2*pi*) is ...
*December 12, 2006 by david*

**calc**

find the values of a nad b if the function f(x)=2x^3 + ax^2 + bx + 36 has a local max when x=-4 and a min when x=5 First you calculate the derivative: f'(x)=6x^2 + 2ax + b (1) At the local maximum and minumum f' is zero. If a polynomial is zero at some point p, then it must ...
*November 9, 2006 by kooldude*

**Math - derivative of a rational function**

find the 1st derivative of f(x) = x/(x-1)2 Is the 1st derivative f'(x)= -x-1/(x-1)^3
*October 29, 2010 by Farah*

**Calc**

I'm creating a "calculu for dummies" project book. I've already done most of it, I'm just stuck on these ones. Thank you! -What is the definition of a derivative? -What does the derivative of a function tell you (in english) ? Then I need an example of the power rule, quotient...
*May 19, 2011 by Jill*

**Calculus**

Find the intervals on which y=1/(x^2+1)^2 is increasing and decreasing. find the first derivative which is -4x/(x^2+1)^3 you should know that if the first derivative is positive, then the function is increasing and if it is negative, the function is decreasing. Now by ...
*May 10, 2007 by Icy*

**Quantum mechanics, eigenfunctions!**

Determine if the function sin(x)*e^(ax) where a=constant is an eigenfunction of the operators d/dx and d^2/(dx)^2 Okay. My understanding is that you use the operator and perform its "thing" on the function. In this case, you will have to find the 1st derivative of sin(x)*e^(ax...
*October 8, 2009 by Steven*

**increasing decreasing and more**

How to analytically find the intervals on which the function y = 2x^4 - 4x^2 + 1 is 1)increasing 2)decreasing 3)concave up 4)concave down Also find any local extreme values and inflection points. Thanks. (1) The function is increasing when the first derivative dy/dx = 8x^3 - ...
*November 11, 2006 by Jen*

**Algebra-please check my work**

check my answers please. Use the Intermediate Value Theorem to determine whether the polynomial function has a real zero between the given integers. f(x) = 2x3 + 10x2 - 8x - 5; between 1 and 2 -I got: f(1)=1 and f(2)=35;no Determine the maximum possible number of turning ...
*October 15, 2007 by emma*

**Math**

1. Identify the degree, leading term and leading coefficient of each polynomial function. A. f(x)= x(x+1)(3x+1)(x-2) B. f(x)= -16+3x^4 - 9x^2 - x^6 + 4x^8 2. Describe the end behavior of a ninth-degree polynomial function with a negative leading coefficient.
*July 15, 2010 by Stephanie*

**Calculus**

I need to find the second derivative of y=x(x-1)^1/2. I found the first derivative is 2x-1/2(x-1)^1/2, if someone could check, but I am miserably stuck on the second derivative.
*April 18, 2011 by Amie*

**Calc-please help!**

What is the second derivative of (x^3)/(x^2-1)? And how would I accurately graph both the derivative and the second derivative of this function?
*November 1, 2011 by Haley*

**math**

can some one please help me with the following questions as i dont understand them please (a) write down the derivative of each of the functions f(x)=E7x and g(x)=cos(2x) using the product rule differentiate the function k(x)=E7xcos(2x) (b)write down the derivative of each of ...
*February 8, 2007 by hanny*

**calculus totally confused**

find a first degree polynomial function p(1) whose value and slope agree with the value and slope of f at x=c. i think you use taylor series for this f(x)=4/sqrt(x), c=1 i'm totally confused on how to do it. i know you find the derivative but how do i get the function. this is...
*March 13, 2007 by david*

**CALC 1**

Suppose that h is a function with h'(x) = xe^x. Find all intervals where the function h is concave up. Now, I understand that concavity is determined by the second derivative, so what my question here is, is it just taking the first derivative and then taking it again? Is it ...
*November 30, 2014 by Brian*

**Please check my Calculus**

1. Find all points of inflection of the function f(x)=x^4-6x^3 A. (0, 0) B. (0, 0), (9/2, -2187/16) C. (3, -81) D. (0, 0), 3, -81) E. none of these I got D. I found the second derivative and solved for x and plugged values into original function to get points. 2. Find dy/dx ...
*January 12, 2015 by Anonymous*

**Calculus**

Please.... I need your help! I posted this question yesterday and no one has answered it yet. Can anyone help me please? My question was: The Taylor series about x=5 for a certain function f converges to f(x) for all x in the interval of convergence. The nth derivative of f at...
*March 18, 2007 by Steven*

**calculus**

At the indicated point for the function, find the following. A graphing utility's numerical derivative feature can be used to check your work. y = (x3 + 2x)3 at x = 3 (a) Find the slope of the tangent line. (b) Find the instantaneous rate of change of the function.
*March 10, 2011 by Adam Janky *

**increasing and decreasing intervals**

Have to find the intervals on which f(x) = 4 - sqrt(x+2) is increasing. Also the intervals on which the function is decreasing. TIA Find the derivative of f(x). When the derivative is positive, the function increases as x increases. When the derivative is negative, the ...
*November 5, 2006 by Jen*

**math**

Consider the function defined below. y = 2t3 - 4t2 + 3 (a) Calculate the second derivative. y '' = (b) Calculate the third derivative. y ''' =
*June 21, 2010 by Jack*

**Calculus-Function**

sketch the graph of a function in neighborhood x=2 that satisfies these conditions f(2)=3 f'(2)=2 f"(2)=-1 you can find a specific function that satisfies all of the given conditions i know the first derivative gives you critical points, and second derivative gives you points ...
*April 29, 2013 by Liliana*

**Can you check my Math answer please?**

According to the first derivative test, a differentiable function must have a relative minimum between any two relative maxima. True.
*December 9, 2014 by Kennedy*

**Math**

True or false Some rational numbers are integers. The radius of a circle and its circumference. Direct or inverse f(x) 0.08x^3 + 0.6x + 2.8 Rational function, another polynomial function Quadratic function
*November 22, 2013 by KGK*

**Math**

Some rational numbers are integers. True or false The radius of a circle and its circumference. Direct or inverse f(x) 0.08x^3 + 0.6x + 2.8 Rational function, another polynomial function Quadratic function.
*November 22, 2013 by KGK*

**Math - derivative of f(x) (check)**

f(x)= (x^2-1)^3,is its derivative f'(x)= 6x^5 -12x^3 + 6x. Is there an alternative answer, because a computer generated answer is diff then mine. please help.
*October 27, 2010 by Anonymous*

**Math(Please check)**

Find the derivative of f(x)=7x-19 at x=2. I think that the derivative would be 7 and theb times 2 so 14. Is this correct or would it just be 7.
*January 30, 2011 by Hannah*

**Writing polynomial functions**

How to write a polynomial function with the integral coefficients that have the following roots: #1.) 0, -1/2, 6 #2.) + or - 5i
*September 12, 2010 by Adam*

**Graphing polynomial functions**

How do i graph the polynomial function of: f(x)= (x+3)(x+1)(x-2) squared
*October 20, 2007 by eric*

**math**

#1 If v=(6-(r^3/3))h and h/(2-r)=5/2 write V as a function of h . Simplify the function so that you can express it as a polynomial in h . #2 If y=ln(x) , write ln(x^x) as a simple function of y thxs alot!
*February 19, 2009 by kk*

**College Algebra**

1.Give a quadratic function q(x) with a vertex of (-1, 2). 2. Give a function h(x) which does not have an inverse function. 3. Give a polynomial function g(x) with zeros 1,2,3 4. Give an exponential function s(x) passing through (0,2) and (4,1). 5. Give a rational function R(x...
*July 25, 2014 by Chris*

**CALCULUS HELP**

Find the second derivative for the function 5x^3+60x^2-36x-41 and solve the equation F(X)=0 i got to the second derivative but what do we do next to be able to get one of these answers.. F(x) = 5x3+60x2−36x−41 1. derivative of F(x) with respect to x = 15x2+120x&#...
*September 26, 2012 by Herosugar*

**Math - Simple rational Function (check)**

Consider the function f(x) = x/(x-1) Are there any turning points? Explain how this could help you graph f(x) for large values of x? Ans: turning points is another word for checking the concavity, and therefore i find the second derivative and equate it to zero and see where ...
*October 25, 2010 by Anonymous*

**math**

i need to find when the function increases or decreases, this is the derivative of the function (10 − 3x)/(2 ¡î5 − x) but how do you solve the function when x is zero?
*September 7, 2010 by kwack*

**Calculus**

For f(x)=2(x+5)^3 +7 Find and classify the extreme values, determine where the function is increasing and decreasing, where it is concave up and concave down, and any points of inflection. I understand this is using the first and second derivative tests, but I can't find any ...
*July 22, 2014 by Natalie*

**Applied Calculus**

Find the first and second derivative of the function: x/(7x+10) Using quotient rule. This is part of my homework in the section named "Higher Order Derivatives". I am confused on getting the second derivative, as I found the first derivative to be 10/(7x+10)^2
*February 20, 2013 by Jacob*

**Pre-Calc**

Fill in the blank; In the process of polynomial division (Divisor)(Quotient)+_______=_______ When a polynomial function f is divided by x-c, the remainder is _______. If a function f, whose domain is all real numbers, is even and if 4 is a zero of f, then _______ is also a ...
*February 27, 2012 by nelly*

**Calculus derivatives**

f(a) = a + √a (a) Find the derivative of the function using the definition of derivative.
*October 27, 2008 by Ben*

**calculus**

Calculate the derivative of the function. Then find the value of the derivative as specified. f(x) = 8/(x+2); f '(0)
*July 4, 2010 by theo*

**Calculus**

If I have a function f(x), and am given its derivative, f'(x): may I take it as a given that f(x) is an integral of f'(x). My reasoning is that 'undoing' the derivative gives me the derivative. Eg is 1/3x^3 an integral of x^2? Thanks.
*September 15, 2007 by charlie*

**Math**

Use synthetic division to show that x is a solution of the third-degree polynomial equation, and use the result to factor the polynomial completely. List all the real zeros of the function. x^3 - 28x - 48 = 0 x=2 I have no idea how to start this problem!!
*April 1, 2009 by Kate*

**calculus**

Use the function defined below to calculate the indicated derivative. f(t)= 4/(t^3)+3 what is f''(2) (second derivative) Need help!!
*September 22, 2010 by Ben*

**Calculus**

Use derivative formulas to find the derivative of the function. please show your work h(x)=10^3-25x^6+3x^15
*September 25, 2012 by Sarah*

**Derivative**

if g(x)= 5x^6-3/x^2, find the 3rd and 5th derivative of the function. Pls help!
*January 4, 2015 by Desmond*

**calculus-can someone please help me with this ques**

Find all zeros of the following polynomial. Write the polynomial in factored form. f(x)=x^3-3x^2+16x-48 I put: x^2(x-3)+16(x=3) (x-3)(x^2+16) For zeros: x-3=0 x=0 **My teacher stated check the equation solution again. What is the value for x and hence what is the zero for the ...
*December 27, 2012 by allison--Please help!!*

**college algebra**

let f(x) be polynomial function. explain how to use the factor theorem to check if x) is a factor of F(x)
*January 4, 2013 by maria*

**Calculus**

Find the derivative of the function using the definition of a derivative. F(x)=squareroot(1-3x) Please show work for understanding, thank you! :)
*February 14, 2013 by Tori*

**Calculus (Continuity and Differentiability)**

Okay. So I am given a graph of a derivative. From what I can gather, it looks like the function might be abs(x-2)-4. (I was not given an explicit function for g', just its graph.) The question then goes on to ask me: Is it possible, impossible, or certain that the function g ...
*November 12, 2011 by Mishaka*

**Calculus**

Suppose that you can calculate the derivative of a function using the formula f(x) = 2f(x) + 4x. If the output value of the function at x=4 is 3 estimate the value of the function at 4.012. Linear Approximation right? I'm not seeing an f'(x) anywhere. Can you retype your ...
*October 14, 2006 by Michael*

**Math-Funtions**

1)Expand and simplify. Express each equation in standard form. a) f(x) = -2(x-1)(x+4)(x+1)(x-3) b) f(x) = (x+2)(x+1)(x+4) c) f(x) = x(x-6) 2) For each function in question 1. state the degree of the polynomial and identify the type of function
*April 27, 2012 by sandra*

**Math-Functions**

1)Expand and simplify. Express each equation in standard form. a) f(x) = -2(x-1)(x+4)(x+1)(x-3) b) f(x) = (x+2)(x+1)(x+4) c) f(x) = x(x-6) 2) For each function in question 1. state the degree of the polynomial and identify the type of function
*April 27, 2012 by sandra*

**Math---helpppp**

1)Expand and simplify. Express each equation in standard form. a) f(x) = -2(x-1)(x+4)(x+1)(x-3) b) f(x) = (x+2)(x+1)(x+4) c) f(x) = x(x-6) 2) For each function in question 1. state the degree of the polynomial and identify the type of function
*April 28, 2012 by sandra*

**Math-Calculus (check please)**

FOr the function f(x)=x^2e^x Find the critical points, increasing decreasing, first and second derivative and concavity I am having trouble finding the concavity >_< First derivative: xe^x(x+2) Second : e^x(x^2+4x+2) Critical points from first derivate: x=0,-2 Increasing...
*November 1, 2008 by songyi*

**Math PLEASE PLEASE HELP ME**

1.Find the derivative of the function. f(t) = (1+squrt t)(8t^2-7) 2. Find the derivative of the function. f(x) = (x^3 - 4)/(x^2 + 4)
*February 16, 2011 by Anonymous*

**Calculus**

R=M^2(c/2-m/3) dR/dM=CM-M^2 I found the derivative. Now how would I find the vale of M that maximize the derivative dR/dM? set it to zero, and solve for m. You get two solutions. Use the second derivative to see which one is the max. I get M=C. How do I go from there? What do ...
*May 29, 2007 by Anonymous*

**Calculus**

Suppose that ax^2 + bx + c is a quadratic polynomial and that the integration: Int 1/(ax^2 + bx + c) dx produces a function with neither a logarithmic or inverse tangent term. What does this tell you about the roots of the polynomial?
*January 10, 2008 by mathstudent*

**Math - Simple rational functions (check)**

Consider the function f(x) = x/(x-1) Are there any turning points? Explain how this could help you graph f(x) for large values of x? Ans: turning points is another word for checking the concavity, and therefore i find the second derivative and equate it to zero and see where ...
*October 29, 2010 by Anonymous*

**Math, Calculus**

Find the derivative of the function. y= xcosx - sinx What's the derivative? I get only one trig function. I will be happy to critique your work or thinking. Use the chain rule on the first term. Our class hasn't covered Chain Rule. Only product and quotient rule. Apparently ...
*March 6, 2007 by Jonah*

**Calculus derivative**

find the slope m and an equation of the tangent line to the graph of the function f at the specified point. original: x^2/x+10 point: (3,9/13) After I found the derivative: (x+10)(2x)-(x^2)(1)/((x+10))^2 How do I get the slope? Should I put 3 into the derivative equation?
*September 17, 2013 by Eve *

**Math**

how do i minimize this function. 21L + (2600/L) Set the derivative equal to zero and solve for L. 21 - 2600/L^2 = 0 2600 = 21 L^2 There will be positive and negative solutions for L. You can use the second derivative test or direct calculation to see which gives a minimum.
*November 24, 2006 by David*

**Math**

1.Find the derivative of the function. f(x)=x/(e^x) 2. Find the derivative of the function. f(x)=(e^x+e^(-x))/2
*April 8, 2011 by August*

**calculus**

For a function f(x) the derivative at x=2 is 5. Is the derivative of f(x) continuous at x=2? Thanks!
*December 1, 2008 by Ginger*

**local min**

f(x) = x^4 + ax^2 What is a if f(x) has a local minimum at x=5. How do I justify the answer. The first derivative has to be zero at x = 5. You then check what the second derivative is at x = 5. If it is positive then that's ok. In this case you find that a = -50 and that the ...
*November 19, 2006 by Jen*

**Please check my Calculus**

1. Find all critical values for f(x)=(9-x^2)^⅗ A. 0 B. 3 C. -3,3 D. -3, 0, 3 E. none of these I got D. I found the derivative and solved for critical numbers. 2. Find all intervals on which the graph of f(x)=(x-1)/(x+3) is concave upward A. (negative infinity, infinity) ...
*January 12, 2015 by Anonymous*

**Math**

John wants to hire an editor to check his thesis paper. The editor charges a flat rate of $50 and $2 per page. Write a polynomial to describe the cost. Find the cost of editing 75 pages. Calculations: Answer: Polynomial: ____________________Cost:_________________
*February 24, 2014 by Teresa*

**Math**

You have 200 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river, find the length and width of the plot that will maximize the area _____________________________________ Among all pairs of numbers whose sum is 20...
*October 18, 2011 by Cassidy *

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