Thursday

September 3, 2015
Number of results: 105,391

**math**

I studied derivatives before, but kind of forgot them all, is there a website that gives me an overview of derivatives. What is first and second derivatives, how to find it, all the derivative rules and so on... thank you
*October 9, 2008 by Sam*

**convert derivatives of x,y,z, to r, Ɵ,z**

convert derivatives of x,y,z, to r, Ɵ,z with chain rule? I want provment rules of converting rectangular derivatives to cylindrical derivatives and and also cylindrical to spherical.I know the rules but I cant prove EQUATIONS.thx alot
*December 1, 2011 by parsa*

**Math-Derivitives **

if f(x)=x^3+5x, then f'(2)= if f(x)=cos(2x), then f'(pi/4) derivatives and anti derivatives please help
*March 23, 2010 by AdrianV*

**calculus**

find the second-order partial derivatives of f(x,y)=x^3 + x^2y^2 + y^3 + x+y and show that the mixed partial derivatives fxy and fyx are equal
*March 7, 2012 by maggie*

**Calculus: Derivatives**

I'm having trouble understanding what derivatives in calculus (instantaneous speed) is. Can someone please explain it to me, or provide some easy links to learn from? Thanks!
*September 9, 2007 by Joe*

**math derivatives**

An architect is designing a rectangular building in which the front wall costs twice as much per linear metre as the other 3 walls. The building is to cover 1350 m2. What dimensions must it have so that the costs of the walls is a minimum? write a formula using derivatives
*June 6, 2015 by Barry*

**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 having ...
*November 1, 2011 by Mishaka*

**calculus - derivatives**

can you please find the first 5 derivatives for: f(x) = (0.5e^x)-(0.5e^-x) f'(x) = ? f''(x) = ? f'''(x) = ? f''''(x) = ? f'''''(x) = ? thanks :) f(x) = (0.5e^x)-(0.5e^-x) f'(x) = 0.5 e^x + 0.5 e^-x f''(x) = 0.5 e^x - 0.5 e^-x f'''(x) = 0.5 e^x + 0.5 e^-x f''''(x) = 0.5 e^x - 0...
*July 30, 2007 by COFFEE*

**Calculus**

What is wrong with the following reasoning??? f(x) = 2^x f'(x) = x[2^(x-1)] Although n x^(n-1) is the derivative of x^n, you cannot apply similar rules when x is the exponent and the number being raised to a power is a constant. The derivative of b^x, where b is a constant, is...
*June 13, 2007 by Raj*

**Calculus**

show that the curves r=asin(è) and r=acos(è) intersect at right angles. can you show that the derivatives for each are the negative reciprocal of each other? That is the key. i need more info..i know how to find the derivative...but how will that prove my question. Do I need ...
*April 5, 2007 by Amy*

**Calculus/Derivatives**

In addition, can you walk me through how to get the derivatives for these 2 statements, too? a) y = x^5/3 - 5x^2/3 b) y = (the cubed root of the quantity) [(x^2 - 1)^2] Hi there. I need to find the first derivative of this statement. y=x(x+2)^3 I tried the chain rule, but I ...
*March 14, 2007 by Amy*

**Calculus grade 12**

a) determine the derivative of y = sin2x b) determine the derivative of y = 2SinxCosx c) shoe that derivatives in parts a) and b) are equal d) explain why derivatives in parts a) and be should be equal.
*April 12, 2012 by Julie*

**Math-Derivatives!!!**

-4x^4 x^1/2+(-7/(x^2 x^1/2))
*September 9, 2010 by Janel*

**Calculus**

Find the outside and inside functions of the following to find their derivatives: 1) sqrt(2x+9) 2) cos(cos(x)) 3) tan(x) I already know how to find their derivatives I'm just not exactly sure what parts of the chain rule equation would be considered the outside and inside.
*June 18, 2013 by Robin*

**Derivatives**

Find the derivatives of: 1. H(x)= sin2xcos2x The answer given is 2cos4x. My question is, how in the world did they get that!? Shouldn't the answer at least contain the sin function, either negative or positive seeing as it's the derivative of cos? Also, which rules are ...
*October 3, 2013 by Daisy*

**calculus**

a)find the first partial derivatives of f(x y)= x √1+y^2 b)find the first partial derivatives of f(x,y)= e^x ln y at the point (0,e)
*March 11, 2012 by maria*

**Math**

Find the derivatives of the function g(t)= cosh^3 t.
*October 9, 2012 by Joe *

**Econ/Math Derivatives**

Find the derivative of the quotients: y=4X/(X-3)
*September 13, 2007 by Rachel*

**math (2)**

Find the first partial derivatives of the function. f(x,y,z) = xe^(y/z) a. fx = ? b. fy = ? c. fz = ?
*April 30, 2014 by Mia*

**math (2)**

Find the first partial derivatives of the function. f(x,y,z) = xe^(y/z) a. fx = ? b. fy = ? c. fz = ?
*May 1, 2014 by Mia*

**math**

Z=square root of (x^2+y^2) + xy Find the partial derivatives: x, xx, y, yy, xy. Thanks.
*September 24, 2014 by jean*

**math**

math question from applications of the derivatives. maths formula: V = 4/3(pi)r^3 dV = 4(pi)(3r^2) = 4(pi)r^2 But I don't understanding that how to get (3r^2) ?
*December 18, 2014 by Maths Learner*

**Math: Calc: Implicit Derivatives**

Find dy/dx give the relation (x^2/9)+(y^2/16)=1 Thank you!!
*June 14, 2012 by Joey*

**math**

find the derivatives, dy/dx for the folowing function : y=ln(cos(0.5)+(sin(x^2+3))^1/3)
*August 25, 2012 by deel*

***math (7)**

Evaluate the first partial derivatives of the function at the given point. f(x, y) = x^2 + xy + y^2 + 2x - y ; at (-5, 4) fx(-5, 4) = ? fy(-5, 4) = ?
*April 29, 2014 by Mia*

**math (3)**

Evaluate the first partial derivatives of the function at the given point.(0,e) f(x,y) = 6e^x ln(y) fx(0,e) = ? fy(0,e) = ?
*April 30, 2014 by Mia*

**Math**

Find the derivative of: ln(2x/x+1) the answer is 1/x(x+1) but i can't seem to solve it that far. ln [2x/(x+1)] = ln 2 + ln (x) - ln(x+1) Add the derivatives of each term and you get 1/x - 1/(x+1) = [(x+1) - x]/[x(x+1)] = 1/[x(x+1)]
*March 18, 2007 by Freddy*

**math**

find the derivatives, dy/dx, for the following functions : y=(1+sin^2{2 exp (3x)})^5y please help me to solve this assignment. thank's
*August 20, 2012 by deel*

**Calculus-Math**

Complete the table. y = f(g(x)) u = g(x) y = f(u) y = (2x − 4)^7 u = y= This problem involves the chain rule of derivatives.
*August 8, 2014 by Lorine*

**Math - Derivatives**

How would one take the derivative of "f(x)^[g(x)]? Is there a formula I can follow to differentiate functions like that?
*January 28, 2009 by Anonymous*

**Math(Please help)**

f(x,y)=x^2 e^2x lny (2,1) I need to find the partial derivatives with respect to x and y. I have not idea how to do this especially with the (2,1).
*April 29, 2011 by Hannah*

**math (7)**

Find the second-order partial derivatives of the function. f(x,y) = x^5 + x^2y + x + 5 a. fxx = ? b. fyy = ? c. fxy = ? d. fyx = ?
*April 30, 2014 by Mia*

**math (8)**

Find the second-order partial derivatives of the function. f(x,y) = x^5 + x^2y^2 + y^4 + x + y a. fxx = ? b. fyy = ? c. fxy = ? d. fyx = ?
*April 30, 2014 by Mia*

**Math**

By setting x equal to the appropriate values in the binomial expansion ( or one of its derivatives) evaluate the following : sum(k=1 to n) (n,k) k^2
*September 8, 2012 by frustrated*

**Math - Derivatives**

I find it difficult to take the derivative of something that has a constant base with a variable as an exponent...and simplify it... PLEASE HELP ME! f(x) = e^(x^(-1)) f'(x) = -1(e^(x^(-2))e^(x^(-1)) f'(x) = -e^(x^(-2))e^(x^(-1)) ????? and... f(x) = 3^x f'(x) = 3^x
*January 28, 2009 by Anonymous*

**math/ calculus**

full work out with explanation of this problem please we're working with derivatives and i dont understand it given h(x)= cotx/x find h'(pi/2)
*December 20, 2011 by Angie*

**Math - Limits/Derivatives**

The demand x is the number of items that can be sold at a price of $p. For x = p^3 - 4p + 400, find the rate of change of p with respect to x by differentiating implicitly.
*October 21, 2013 by Cal*

**Math: Derivatives**

Use the shortcut rules to mentally calculate the derivative of the given function f(x) = −x + (3/x) + 1 After deriving it, I got -1+(0/1)+0= -1 But this answer is wrong, and I don't know why. Thank You
*April 8, 2012 by Nick*

**Math-Derivatives. **

if y=sec^(3)2x, then dy/dx= my answer is 6 sec^3 2xtan 2x but im not sure if that is right. ? Can someone show me if i did it correct.
*March 24, 2010 by Anonymous *

**math derivatives**

derivative of ln[(1+v)^(1+v)(1-v)^(1-v)] I know my log rules allow me to rewrite this as ln[(1+v)(1+v)+(1-v)(1-v)] but what I do from there i dont know.... Wolfram says it is ln(v+1)-ln(v-1)but i dont know how to get that...
*March 3, 2015 by pat*

**Math(Urgent)**

Differentiate. g(x)=(x^3+1)(3x^2-1) I know that the answer is 15x^4-3x^2+6x but I donot know how to get to this. I was using g'(x) X h(x) + g(x) X h'(x) and I was using the derivatives 3x^2 and 6x but I guess this is wrong. Please help!! Thank you.
*February 27, 2011 by Hannah*

**Math - derivatives of cos and sin fucntions**

a) Find an equation of a line that is tangent to y=2sinx and whose slope is a maximum value. b) Is there more than one solution? Explain.
*November 6, 2010 by Farah*

**calculus**

derivatives. f(x)=(1/-7x^12) f'(2)=? f'(-1)=?
*January 18, 2008 by mike*

**Derivatives ~ Calculus**

If dy/dx = (1 + x)/(xy), x>0, and y=-4 when x=1, then when x=3, y= what?
*June 5, 2012 by Hannah*

**Math help/check**

Suppose the functions f and g and their derivatives have the following values at x = 1 and x = 2. Let h(x) = f(g(x)). Evaluate h′(1). X | f(x) G(x) f'(x) g'(x) ____________________________ 1 | 8 2 1/3 -3 2 | 3 -4 2π 5 My answer: -6π
*November 16, 2014 by Lily*

**Math**

How do you find decreasing intervals of 6x^3-63x^2-144x-2? I found my increasing intervals from placing the derivatives i just can't seem to solve for the decrease
*November 4, 2014 by Alessandra*

**Calculus**

Compute the derivatives of : f(x)= x^7 + 7^x+ 7^7
*November 22, 2010 by JJ*

**Maths Derivatives**

If y = x ^ n + ( 1 / x ^ n ) prove that ( x^2y'' ) + ( xy' ) - ( n^2y ) = 0
*October 25, 2011 by Yousef*

**Calculus-derivatives**

Determine h'(x) for h(x)= [x/(1-x)]^2
*February 20, 2012 by Jessi*

**Derivatives**

differentiate and simplify y= (e^x - 1) / x^2
*March 25, 2012 by help*

**derivatives**

Applications of derivatives A rectangle has its base on the x axis and its upper two vertices on the parabola y=12 - x^2. What is the largest area the rectangle can have, and what are its dimensions. Support your answer graphically. Thanks. Well, the parabola is symettric ...
*November 18, 2006 by Jen*

**Calculus**

Hi~ Thank you for your help! I was trying to work on a problem about Taylor series, but i don't think im approaching the problem the right way. I have to find the fifth order Taylor polynomial and Taylor series for the function f(x) at x = 0. f(x) = 1/(x+2) I tried to just ...
*March 7, 2011 by KIKSY*

**Math**

Let f(x) = 3(x-1)^3 + 4(x-1)^2 + 2(x-1) -7 (a) Determine f'''(1) without taking any derivatives. Explain your method. (b) Determine the general Taylor polynomial of f aobut c =2 by computing any for each k, using the formula above for f(x).
*November 13, 2008 by Paul*

**MATH**

Let f(x) = 3(x-1)^3 + 4(x-1)^2 + 2(x-1) -7 (a) Determine f'''(1) without taking any derivatives. Explain your method. (b) Determine the general Taylor polynomial of f aobut c =2 by computing any for each k, using the formula above for f(x).
*November 14, 2008 by PAUL*

**Derivatives**

What is f ''(x) and f ''''(x) of f(x)= e^-x^2 f"(x) = -e^-x^2(2x) F""(x)= -2e^-x^2 + 2xe^x^2 and also what is integral [0 to 2] f(x) dx
*October 22, 2006 by 413*

**Calc**

What are the derivatives? Thanks a) y = log(base2)(4-9x) b) y = x^(8x)
*October 20, 2008 by Michael*

**calc**

What are the first and second derivatives of y = (1/x^2)-(1/(x-2)^2)?
*November 1, 2009 by Freddy*

**calculus**

find the derivatives F(x)=8ln(x^5-2x)
*April 6, 2011 by melissa*

**derivatives**

How do you find the derivative of (6 csc x)/x?
*October 28, 2011 by hannah*

**derivatives**

How do I find the 2nd derivative of x^(-1/15)
*November 4, 2011 by Jacob*

**Calc**

What are the first and second derivatives of y= x-3x^(1/3)
*January 8, 2012 by Anonymous*

**Calc**

What are the first and second derivatives of y= x^(2/3) * (2.5 - x)
*January 8, 2012 by Anonymous*

**Calc**

what are the first and second derivatives for y= x* (4-x^2)^1/2
*January 8, 2012 by Anonymous*

**calc**

what are the first and second derivatives for y= x* (4-x^2)^1/2
*January 8, 2012 by Anonymous*

**calc**

What are the first and second derivatives of y= x^(2/3) * (2.5 - x)
*January 8, 2012 by Anonymous*

**calculus derivatives**

Please confirm: {(5x+2)^4/x^2-3x+1)^3}= 20(5x+2)^2(x^2-3x+1)^3 -3x^2(5x+2)^4 (x^2-3x+1)^2/(x^2-3x+1)^6
*July 19, 2012 by Laurie*

**Maths**

Find the derivatives of these: f(x)=√
*November 13, 2012 by alexis*

**calculus**

Find the derivatives of the functions k(x)=(x^3+e^x)^4
*February 11, 2013 by Joe*

**Derivatives**

Find the derivative of xsecy+y^5=5x^3-7
*June 26, 2014 by Sarah*

**math**

so i am in precalculus, we need to graph the fuction using derivatives, maxima, intercepts and concavity. I am having trouble factoring cubics: for example: x^4-4x^3+16x --> x(x^3-4x^2+16)Now what? That is without calculator, how do you find the roots?
*May 4, 2011 by kathy*

**math**

Find the first and second derivative of the function y=f(x)=x^3/(1-(x^2)) Use the information about the derivatives to determine any local maxima and minima, regions where the curve iss concave up or down, and any inflection points
*November 22, 2012 by ravinder*

**Math **

suppose u and v are functions of x that are differentiable at x=2 and that u(2) =3, u'(2) = -4, v(2) = 1, and v'(2) find values of derivatives at x = 2 (d/dx)(uv) = ? I would like to know how to set this up because I'm only used to getting problems that want the d/dx given ex...
*November 1, 2011 by Amy*

**Calc--derivatives**

find the der of y= x^(lnx) thanks
*October 13, 2009 by Carolina*

**Calculus (derivatives)**

Find the derivative of cos^2(4x)
*November 3, 2009 by Amanda*

**calculus**

find the derivatives 1. y=sin^3(2x)(cos2x)
*January 4, 2011 by gen*

**calculus**

find the derivatives 1. y=sin^3(2x)(cos2x)
*January 4, 2011 by gen*

**calculus**

derivatives: 2. cos teta/ 1+sin^2
*January 4, 2011 by gen*

**Derivatives**

Find the derivative of g(t)=8t^2+9t at t=1 algebraically... g'(1)= _________
*February 14, 2011 by Cad*

**trig derivatives**

How do I find the derivative of 6 + 8cosx?
*October 27, 2011 by lily*

**derivatives**

how do u find the derivative of (csc x)^7 -cos 4x???
*October 27, 2011 by hannah*

**Math**

I am having trouble figuring out how to do partial derivatives. I have tried practice problems and have read my textbook but I am still so confused. Could someone please explain how to do this? Thank you.
*April 21, 2011 by Hannah*

**Calculus**

Find a formula for the derivatives of the function m(x)=1/(x+1) IS the answer -1/(x+h)(x+h+1)
*September 13, 2008 by George*

**calculus**

derivatives: 3. y= cot^3(2/x) 4. y= csc^5 (1-t+3t^2) 5. y=sec(5x)/tan3x
*January 4, 2011 by gen*

**Calculus(derivatives)**

f(x)=7cosx+6tanx, find f'(x)and f'(5pie/4)
*February 24, 2011 by Daniel*

**Calculus (derivatives)**

find the slopes at the indicated points y = 3 + 5x - 3x^3 (0,3), (1/2, 41/8), (2,-11)
*October 13, 2011 by Nemo*

**Anti-Derivatives**

find the antiderivative of f(x) = x^3(x-2)^2 Someone help me please!
*April 26, 2012 by I Need Help*

**calc**

find the derivatives of the given functions. g(t)=sqrt t(1+t)/t^2
*February 5, 2013 by Jake*

**calculus**

Z=square root of(x^2+y^2) + xy Find the partial derivatives: x, xx, y, yy, xy. Thanks.
*September 24, 2014 by jean*

**Calculus**

I get mixed up when graphing derivatives. If I'm given the graph of f how do I get f' and f"?
*January 12, 2015 by Anonymous*

**Calculus, derivatives**

The curve is given by x^2+2r(sqrt(y))=xy What is dx/dr when y is constant?
*May 8, 2015 by Andy*

**Calculus, derivatives**

Derivative of y=(a^x)+(x^a). Show steps, please.
*June 27, 2015 by Walt*

**math **

derivatives: y=(x^3+1)^2, then dy/dx is: i got 6x^2(x^3+1) first but im not sure. Can i see the steps of how it is done right. I also got 2(3x^2+1), which one is right?? sorry for bugging.Thanks
*March 24, 2010 by anon. *

**calculus**

Let f be a function that has derivatives of all orders for all real numbers. Assume f(0)=5, f'(0)=-3, f''(0)=1, and f'''(0)=4. Write the third-degree Taylor polynomial for h, where h(x) = integral of f(t)dt from 0 to x, about x=0 for this part, I got 5x-3x^2/2+x^3/6. Then the ...
*March 16, 2007 by Meredith*

**calculus**

Find the first and second derivatives of the function. h(x) = sqrt x^2 + 1
*October 14, 2008 by Vishnu*

**Derivatives**

Find dy/dx for the function, xy-x-12y-3=0. Is the answer -14,I got this from 1-1-12=0, which solves to -14.
*November 5, 2008 by George*

**calculus**

find the partial derivatives du/dx, du/dy and du/dt. u= root (r^2+s^2, r = y + x cos(t), s = x + y sin(t);when x = 0, y = 2, t = 2
*October 10, 2011 by Ramesh*

**Calc**

what are the first and second derivatives of y= sinx - 3^1/2 cos x for x in [0,2pi]
*January 8, 2012 by Anonymous*

**trig**

I need help finding derivatives and antiderivatives. Given: f(x),find f'(x) 1. f(x)-2x^6 2. f(x)= -3x +7 3. f(x)= 3x^2 - 5x 4.f(x)= 1/2x^2 - x + 4
*January 12, 2012 by Anna*

**Calculus-derivatives**

f(x) = (x-1)^(2/3)*(x+3) What are the critical numbers? the derivative would be =2/3(x-1)^(-1/3)(x+3) + (x-1)^2/3 What do I do next?
*February 29, 2012 by Melinda*

**science**

find derivative of f(x)=1/sqx^2+1 by using the defination of derivatives
*March 10, 2012 by ibk*