estimate the derivative of the function. when you are unable to eliminate the h in denominator use h=.001 3^x
25,981 results
Calculus
How many critical points does the function f(x) = [(x2)^5][(x+3)^4] have? A. 1 B. 2 C. 3 D. 5 E. 9  Ok, these are my thoughts on this question: My impulse was to do derivative of the function. However, if I'm going to set the function equal to zero to

Calculus
Let f be a twicedifferentiable function defined on the interval 1.2 less than or equal to x less than or equal to 3.2 with f(1)=2. The graph of f', the derivative of f, is shown on the right. The graph of f' crosses the xaxis at x=1 and x=3 and has a

Calculus
Consider a differentiable function f having domain all positive real numbers, and for which it is known that f'(x)=(4x)x^3 for x>0. A. Find the xcoordinate of the critical point of f. Determine whether the point is a relative maximum, a relative

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(x2)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

inverse
If f(x)=cosx + 3 how do I find f inverse(1)? Thanks y = cos(x) + 3 the inverse of this is x = cos(y) + 3 solve for y and you have your inverse The cos function only has a range of [1,1], so the range of f(x) is [2,4]. this means f inverse of 1 doesn't

math
3/5 + 3/4 round each fraction and estimate the sum. add the two fraction using a common denominator and then round the result. which estimate is closer to the actual answer.

calculus
1. Which of the following expressions is the definition of the derivative of f(x) = cos(x) at the point (2, cos(2))? 2. Find the derivative of f(x) = x + 2 at the point (1, 3) 3. Find f '(x) for f(x) = 2x3 + 3x2  x + 15. 4. Find all values of x on the

Calc Help
A manufacturer's revuenve in dollars is given by R(x)=1500x0.02x^2 where x is number of units sold. Find the marginal revenue function. Use the derivative to estimate the revenue gained from selling the 35th unit. The marginal revenue function is the

advance functions gr 12
use the asymptotes and intercepts to make a quick sketch of the function f(x)= x2 (numerator) x+4(denominator) and its reciprocal f^r = x+4 (numerator) x2 (denominator) on the same set of axes. b) describe the symmetry in the graphs in part a) c)

calc
i did this problem and it isn't working out, so i think i'm either making a dumb mistake or misunderstanding what it's asking. A particle moves along the x axis so that its velocity at any time t greater than or equal to 0 is given by v(t) = 1 

slope of tangent line
the sl0pe of the tangent line to the graph of the exponential function y=2^x at the point (0,1) is lim(x>0)(2^x1)/x. estimate the slope of three decimal places. f'(x)=2^x. what do i do. we have to solve this without using derivative. i keep getting zero.

Precalculus
f(x)=x^21 Graph the function. Estimate the intervals on which the function is increasing or decreasing, and estimate any relative maxima or minima.

Calculus. I need help!
Write the composite function in the form f(g(x)). [Identify the inner function u=g(x) and the outer function y=f(u).] Then find the derivative dy/dx. y=√sinx √ is square root.

Calculus
R=M^2(c/2m/3) dR/dM=CMM^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

calculus
1.) values of f(t) are given in the following table: t 0 2 4 6 8 10 f(t) 137 112 88 68 49 34 a. Does this function appear to have a positive or negative first derivative? Second derivative? * I think both derivatives are negative b. Estimate (f prime) f^'

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

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

math
Find the derivative function for the following functions using the first principles definition of the derivative limh→0f(x+h)−f(x)h . Show all your steps and include proper notation. a. (4) ƒ(x) = 5x3 b. (5) ƒ(x) = 12x c. (6) ƒ(x) = √2x

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

Calc 3
The oracle function f(x,y) is presented below. For each point (x,y) you enter the oracle will tell you the value f(x,y). Estimate the partial derivative of the function at (1.6,−0.0999999999999999) using the Newton quotient definition.

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)

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

PreCalculus Help?
A class is to eliminate t from the parametric equations x = t^2 + 3 and y = 4t. Beth says that she can write t = sqrt (x3) to eliminate the parameter. Why is this wrong? A) She should have added 3 to x, not subtracted B) She should always solve for t as a

chemistry
If someone could figure this problem out and tell me how to do it, i would really appreciate the help! Bryson needs .003 mg of a cholesterollowering drug per pound per day. The drug should be taken 3 times a day. If capsules contain .010 mg of the drug,

advance functions gr 12
use the asymptotes and intercepts to make a quick sketch of the function f(x)= x2 (numerator) x+4(denominator) and its reciprocal f^r = x+4 (numerator) x2 (denominator) on the same set of axes. b) describe the symmetry in the graphs in part a) c)

advance functions gr12 HELP ASAP
use the asymptotes and intercepts to make a quick sketch of the function f(x)= x2 (numerator) x+4(denominator) and its reciprocal f^r = x+4 (numerator) x2 (denominator) on the same set of axes. b) describe the symmetry in the graphs in part a) c)

Calculus
Find the derivative of the function using the definition of a derivative. F(x)=squareroot(13x) Please show work for understanding, thank you! :)

math
Simplify as indicated. State at least one property of multiplication or division that would prove your simplification process correct. a.(n+4) to eliminate the parentheses b. 6(s) to eliminate the parentheses c. 8(24n) to eliminate the parentheses

Calculus derivatives
f(a) = a + √a (a) Find the derivative of the function using the definition of derivative.

Calculus c
Let f be a twicedifferentiable function defined on the interval 1.2 less than or equal to x less than or equal to 3.2 with f(1)=2. The graph of f', the derivative of f, is shown on the right. The graph of f' crosses the xaxis at x=1 and x=3 and has a

Calculus (Derivatives)
What is the derivative of the this functon? g(x) = 500/x, x cannot equal 0. I know that in order to fnd the derivative I need to put the function into the equation for evaluating derivatives as limits. lim as h > 0 (f(x+h)  f(x))/h I did this, but I am

brief calc
estimate the derivative of the function. when you are unable to eliminate the h in denominator use h=.001 3^x

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

calculus 2
Suppose that you can calculate the derivative of a function using the formula f'(x) = 4f(x) + 2x. If the output value of the function at x= 4 is 2 estimate the value of the function at 4.013

Calculus Help Stuck Part 2?
b.Determine the lim x>4 (x^2+x20/82x) What Im stuck on is this f(4)= 4^2+420 / 82(4) f(4)= 0/0 x^2+x20/82x = (x4)(x+5)/2(x4) What do I do next I'm so confused ik i would eliminate the x4 from numerator and denominator but what would i do with

Calculus
Og Function: cos(3x) Derivative Function: 3 sin(3x) The period for the function and its derivative is 2π/3 radians. Over one period, when is the derivative function equal to its original function? That is, when is f(x) = f '(x) over 0≤x≤2π/3? Round

Calculus
What would an example of a logarithmic function that contains two trig functions within it where you would need to use chain rule and product rule to take derivative look like? How would taking the derivative of the function in its original form look

Calculus HELP
Original Function: cos(3x) Derivative Function: 3 sin(3x) The period for the function and its derivative is 2π/3 radians. Over one period, when is the derivative function equal to its original function? That is, when is f(x) = f '(x) over 0≤x≤2π/3?

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 =,

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

Calculus
What would an example of a logarithmic function that contains a radical within it and a quotient within it where you would need to use chain rule and quotient rule to take derivative look like? How would taking the derivative of the function in its

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

Calc.
find the derivative of 3x^45x+3/x^4+1 i know that the derivative of the numeratoor would be 12x^35 but i'm not sure if its right since it has a denominator i Know i need to do something to it but not sure if to simplify.

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

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=

Calc
a) y =ln(x1) 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^21) 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

Calculus
Hello I need help with this excersise of derivative of a inverse function. The excersise says: If f(x+2)=x^3+1 and g(x)=f(arctg x), find the derivative of the inverse function of g(x) and then calculate (g^1 (9))'[the derivative of the inverse function

Math HELP!
If f(x)=3x^2 2x 3, let g(x)=f^1(x). Find the slope of g(x)=f^1(x) at the point (5,2). a.) g'(5)=1/10 b.) g'(5)=1/5 c.) g'(5)=1 d.) g'(5)=2 I can't understand how to figure out this problem because I am unable to find a derivative for the function. How

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

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

CALCULUS HELP
Find the second derivative for the function 5x^3+60x^236x41 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 =

Math
What can you multiply an expression by to eliminate the imaginary part of the denominator? 1.) (2+4i)/3i= 2.) (12i)/2i=

limit calc question
2 questions!!! 1. Limit X approaching A (X^1/3a^1/3)/ xa 2. LiMIT x approaching 0 (1/3+x – 1/3) /x On the first, would it help to write the denominator (xa) as the difference of two cubes ((x^1/3 cubed  a^1/3 cubed) second. use LHopitals rule. Take

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

calculus
please help! having issue with exponent part of problem. I come to 16x^4 but I think it should be 16x^3.i also have complications with finding the domains. find the derivative of the function using the definition of derivative. f(x)=4x^4 f'(x)=? State the

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

Math
In this problem: 2/a+2 + 3a/2a1 First I made the denominators alike: 2(2a1)/(a+2)(2a1) + 3a(a+2)/(a+2)(2a1) = 4a+2/(a+2)(2a+1) + 3a^2+6a/(a+2)(2a1) What I want to know is if I can eliminate the a+2 for the first fraction, on both the numerator and

Math
Alyssa has 4.5 eliminate to pour into preachers he's pictures hold 0.9 eliminate if it is important that you come out eliminate into each picture how many pieces does she fill

Calculus
Ok so I have to find a vertical asymptote with denominator 3x^3x1. So then the denominator must not equal zero. But i just can't solve the cubic function i tried long division! but it didn't work

Calc 3
The figure below shows some level curves of a differentiable function f(x,y). Based only on the information in the figure, estimate the directional derivative: fu⃗(3,1) where u→=(−i+j)/sqrt(2)

calculus
You are given the following function. f(x)= (8+x)/(18x) (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?

MATH
Estimate the indicated derivative by any method y=1x^2 ; estimate dy/dx , x=1 I know I would use the f(x)= f(x+H)(x)/h I am a bit overwhelmed with what to do next. Thanks John

Calcplease help!
What is the second derivative of (x^3)/(x^21)? And how would I accurately graph both the derivative and the second derivative of this function?

calculus
Find the derivative using the chain rule. f(x) = ((3x7)/(6x+3))^4 f '(x) = let u= 3x7 v= (6x+3)^4 Then d(uv)= u dv + v du du= 3 dv= 4(6x+3)^5 (6) so what's f'(x)? (thanks for your help) Goodness. f'(x) is d(uv) I will be happy to critique your work or

math
can some one please help me with the following questions as i don't 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

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=

Math advance functions gr 12
use the asymptotes and intercepts to make a quick sketch of the function f(x)= x2 (numerator) x+4(denominator) and its reciprocal f^r = x+4 (numerator) x2 (denominator) on the same set of axes. b) describe the symmetry in the graphs in part a) c)

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,

Calculus HELP ASAP
Listed below are four types of functions. Which does not possess a derivative of the same type? a) exponential function b) logarithmic function c) sinusoidal function d) linear function e) NO RESPONSE

Calc 121
Okay, how would you go about finding the area of a curve from 1 to 4, when y=2x+(2/(x^2))?? It's not like the problem I asked before because here, you cannot use substitution. I tried using 2x for u and x^2 for du but it won't simplify into a ln problem or

Math
What is the derivative of x  4/x square. Just the denominator is squared.

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/2m/3) NEXT R=1/2(CM^2)1/3(M^3) NEXT dR/dM=CMM^2. I checked in the back, and that was the answer for the first part of the

advance functions gr12
use the asymptotes and intercepts to make a quick sketch of the function f(x)= x2 (numerator) x+4(denominator) and its reciprocal f^r = x+4 (numerator) x2 (denominator) on the same set of axes. b) describe the symmetry in the graphs in part a) c)

Calculus
Find d^2y/dx^2 for y=(x+3)/(x1) A. 0 B. y=8/(x1)3 C. y=4/(x1)^3 D. y=8/(x1)^3 E. None of these I got a positive number but am not sure about the denominator in the second derivative.

calculus
in a time of t seconds, a particle moves a distance pf s meters from it's starting point, where s=3t^2 Find the ave velocity between t =1 and t=1+h if.... a) h=.1 b)h+.01 c)h=.001 Which approximation is closest to the EXACT derivative at ...t=1? Estimate

Calculus
Use derivative formulas to find the derivative of the function. please show your work h(x)=10^325x^6+3x^15

AP Calculus
Find the derivative for f(x)=x^2+x Do I put x^2 on the denominator? How would I solve it if that's the case?

Calculus
Find the derivative for f(x)=x^2+x Do I put the x^2 as a denominator? How would I solve it if that's what I'm supposed to do?

Calculus review
let the function h(x)= (integrand symbol from 2 to x^2)arctan (t) dt. Find h'(x). This question confused me because i know the derivative of an integral is the original function. I just need help with finding the derivative of that integral. I don't know

Calculus HELP
Determine the derivative of the function ƒ(x) = x^3 − 12x^2. Now determine the derivative of the function g(x) = x^3 − 12x^2 + 6. How are the two functions related? How are the derivatives of the two functions related? I know the derivative, however

CalculusFunction
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

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

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

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

math
Hi, I am in need of some help. How would I find the derivative of the function: f(x) = int e^sin(t) dt if the upper bound is x^2 and the lower bound is cos(x)? I'm not really sure what to do here since e^sin(t) is not an integratable function. Should I

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.

Math
Ok so I totally forgot how to find a common denominator when your adding fractions, could someone please tell me the steps to do that? :) multiply. Multiply the denominators together and this gives the new denominator. Divide each denominator into the new

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!!

calculus
Calculate the derivative of the function. Then find the value of the derivative as specified. f(x) = 8/(x+2); f '(0)

Calculus
I finished this problem but I wanted some feedback because I don't know if it's entirely correct. Suppose that functions f and g and their derivatives with respect to x have the following values at x=2. f(x)=8 g(x)=2 f'(x)=1/3 g'(x)=3 Find d/dx of f(g(x))

circuits
For the transfer function Tv(s)=[10(s+5)(s+20)]/[(s+1)(s+100)] is this a lowpass, highpass, bandpass or bandstop function? estimate the corner frequency(ies) estimate the passband gain what is the output if v1(t)=10cos(1000t+45deg) V??

Probability
Let X and W be independent and uniformly distributed on [−1,1]. We have given the following facts: E[X]=E[X^3]=E[X^5]=0 E[X^2]=1/3 E[X^4]=1/5 Suppose that Y=X^3+W Find the LMS estimate of Y, given that X=x. (Notice we are trying to estimate Y from X, not

Please check my Calculus
1. Find all points of inflection of the function f(x)=x^46x^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

Calculus
I also have these other four question I need help on please!! 1. The graph of y = f ′(x), the derivative of f(x), is shown below. Given f(4) = 6, evaluate f(0). A. 2 B. 2 C. 4

math,correction please..
(x)/(x2)  (x+1)/(x) = (8)/(x^22x) I keep getting x = 6 can someone show me how you guys are getting x = 10 The lowest commond denominator is x(x2) x/x *(x)/(x2)  (x+1)/(x) *(x2)/(x2)=(8)/x(x2) multiplying both sides by the common denominator..

Calculus
If the graph of the function y(ax^2+b)/(x^2+cx+4) has vertical asymptotes x=1,x=4, a horizontal asymptote of y=2 and xintercepts at x=+2, find a, b and c. Answers: a=2, b=8 and c=5 I found a and b but I'm having trouble finding c. I made y=0 and x=2

math
For positive a, b, the potential energy, U, of a particle is given by U = b (a^2 over x^2  a over x) for x is greater than 0 a) find the xintercept b) find the asymptotes c)compute the local minimum d) sketch the graph I don't know how to start this

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?

Calc, Mean Value Theorem
Consider the function : 3x^3  2x^2  4x + 1 Find the average slope of this function on the interval. By the Mean Value Theorem, we know there exists a "c" in the open interval (2,3) such that f'(c) is equal to this mean slope. Find the two values of "c"

calc
derivative of (x^3/6)+(1/2x)? i got (x^2/2)(1/2x^2) is that correct? and then wut is the (F'(x))2?...meaning the derivative squred? if you meant (1/2)x^2  1/(2x^2) you are correct I don't think they are looking for the square of the derivative, but