Sunday

October 4, 2015
Number of results: 14,648

**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*

**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)**

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*

**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**

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*

**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*

**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*

**Calculus**

show that the curves r=asin() and r=acos() 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. 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*

**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*

**Calculus**

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

**Calculus-derivatives**

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

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

**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*

**calculus**

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

**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*

**Calculus**

Just got through with derivatives, power rule, and chain rule. I am supposed to find the first and second derivatives of the function. y = 4x/√x+1 and y = cos^2(x) y' = [(x+1)^(1/2)(4)]-[(4x)(1/2(x+1)^(-1/2))(1)] y' = [4(x+1)^(1/2)-4x]/[2(x+1)^(1/2)(x+1)] y' = (2-4x)/(x+...
*September 26, 2015 by Justin*

**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*

**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*

**calculus**

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

**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*

**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*

**Calculus**

Find all first partial derivatives: f(x,y)=e^(xy)cosx
*May 31, 2013 by Elyse*

**Calculus - Anti-Derivatives**

How would you find the Integral of (cos(x\8))^3, defined from -(4 x pi)/3) to (4 x pi)/3)
*March 14, 2008 by Sean*

**calculus - (derivatives)**

Find the derivative of the function f by using the rules of differentiation. F(x) = 3 x
*September 21, 2008 by B <3*

**Calculus First Derivatives**

If f(2) = 2.5 and f'(2) = -2.5, then f(2.5) is approximately... I have no idea how to do this without an equation.
*May 31, 2012 by PLEASE HELP*

**calculus/derivatives**

I need to find the derivative and can't do them when they are raised to powers? Thank You. m(x)x^5 - 5x^3+7x -4)^10 (4x^9 +19)^23 this on is tuff!
*July 18, 2012 by cathy*

**Calculus - HELP plz!**

Find all of the first partial derivatives of f(x,y,z)=arctan y/xz
*June 2, 2013 by Sara*

**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 AB (AP)**

Hi, I have a calculus test tomorrow and I understand how to complete all of the problems, but I am unsure behind the reasoning of taking two derivatives. Can someone please explain the following: 1. g(x)=e^(f(x)) g'(x)=e^(f(x))f'(x) 2. f(x)=Integral from 0 to 3x of the square ...
*April 13, 2011 by Jake*

**Calculus Derivatives**

what's the equations of both lines through the point (2,3) that are tangent to the parabola y=x^2+x
*September 22, 2008 by Lisa*

**differential calculus**

use the product rule to find the derivatives of the given function y=(3x^2-8)^2
*April 30, 2011 by ash*

**calculus-derivatives**

y=cos^3(12theta) find derivative using chain rule
*September 27, 2011 by hailey*

**Calculus (derivatives)**

find an equation of the tangent line to the curve at the indicated point. y = -(x^1/3); (8, -2)
*October 13, 2011 by Nemo*

**Calculus**

Find the derivatives of the function f(t)=cosh^2(4t)-sinh^2(4t). Simplify your answer completely.
*March 3, 2013 by Mike*

**Calculus**

Find a formula for the derivatives of the function m(x)=1/(x+1) Please help.....Any assistance would be greatly appreciated.
*September 12, 2008 by George*

**Calculus-Derivatives**

How is 6#sin(#x-1)/cos^3(#x-1) the derivative of f(x)= 3sec^2(#x-1)? #= Pi (I coulnd't find the symbol...sorry.)
*September 28, 2008 by Charles*

**calculus quick question**

g(x)= sqrt(1-4x^2) Can someone help me find the first and second derivatives please!
*December 2, 2012 by dt*

**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*

**Calculus (Derivatives)**

Using the product rule, find the derivative of the following function: (x^1/2 cscx sinx).
*November 7, 2011 by Mishaka*

**Calculus**

A curve is defined by the parametric equations: x = t2 t and y = t3 3t Find the coordinates of the point(s) on the curve for which the normal to the curve is parallel to the y-axis. You must use calculus and clearly show your working, including any derivatives you need to ...
*July 18, 2014 by Daksh*

**calculus**

find the following derivatives: f(x) = (2x+5)/(x^2-3) f'(x)= (2)*(x^2 -3)-(2x+5)*2x/(x^2-3)^2 is that correct??? f(x)= (lnx)(cos x) f'(x)= 1/x*-sinx or do i have to use the product rule?? thank you.
*November 9, 2008 by Dan*

**Calculus Review for exam grade 12, please help.**

use the derivatives of y=sinx and y=cosx to develop the derivative of y=tanx
*June 15, 2012 by Henry*

**Calculus AB**

Evaluate the following derivatives at the given points. Find the equation of the line tangent at each point. a) f(x)=ln(secx) @ x=pi/3 b) f(x)=(root(x+1))/(x-1) @ x=0
*December 16, 2010 by ireallyneedhelp*

**calculus**

Just doing example questions to better understand. Find all first and second partial derivatives for the function u= xy^2+x^2y
*April 23, 2012 by Todd*

**calculus**

Use Fundemental Theorem of Calculus part 1 to find the derivatives of the following: (i) F(x)=Integral ( top3, bottom x) e^-t^2 dt (ii) G(theta)=Integral ( top cos theta, bottom sin theta) 1/1-x^2 dx
*January 11, 2009 by extraordinary*

**Calculus**

Find the derivatives of the function k(x)=sqrt(sin(2x))^3 I think I have the answer and was wondering if i had it correct k'(x)=2sin(x)^3+8sin(x)
*February 11, 2013 by Joe*

**Calculus - PLEASE HELP!!**

Use L'Hospital's Rule to solve: lim u --> 1 of (u-1)^3/ ((1/u) - u^2 + (3/u) - 3) Ok, so what I thought was that it is type 0/0 so taking the derivatives of the top and bottom 3(u-1)^2 /(-u^-2 -2u - 3u^-3) and subbing in u = 1 = 0/-6 = 0
*November 12, 2014 by Mary*

**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*

**Calculus - First Derivatives**

Find K'. Y = K^(0.25) * L^(0.75).... relates to Cobbs-Douglas function (dL/dK) = 0.25 (K/L)^(0.25) I got to this.... but answer is... (dL/dK) = 0.25 Y/L <--- Please provide a full solution (all steps..) to get to this....
*September 27, 2009 by Anonymous*

**Calculus derivatives**

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

**Calculus **

find the derivatives of the given functions. g(t)=sqrt t(1+t)/t^2 the sqrt is just over t.
*February 4, 2013 by Mike*

**calculus derivatives update**

update yes, sorry I wrote it wrong (mx)= (x^5-5x^3 +7x-4)^10 * (4x^9 +19)^23 Thanks again
*July 18, 2012 by cathy*

**Calculus Partial Derivatives**

y=F(x+at) + f(x-at) y=F(w) + f(v) (w=x+at, v=x-at) don't see how to get from here to partial derivative y with respect to t = F"(w)a^2 + f"(v)a^2
*July 9, 2015 by Anonymous*

**Calculus-partial derivatives**

Let Z = f(u,v) where u=xy^3 + e^3 and v = (x^2)y. Obtain expressions for Zx and Zy in terms of fu and fv. I don't understand the "in terms of" part. How do I do this question? thank you
*October 5, 2008 by mark*

**Calculus**

Find the first and second derivatives of the given functions. y=(x+1) y'=x(x+1)^(-1/2) y"=[1(x+1)^(-1/2)]-[(1/2)[(x+1)^(-3/2)](2x)(x)] y"=[(x+1)^(-1/2)]-[(x)(x+1)^(-3/2)] Is the second derivative right?
*November 10, 2009 by sh *

**calculus**

How do you estimate derivatives when you don't know the actual equation of the line on the graph, but you have just a picture of the graph?
*October 3, 2011 by fr*

**calculus**

Find a function f such that the curve y = f(x) satisfies y'' = 12x, passes through the point (0,1), and has a horizontal tangent there. I can use the anti-derivatives to get y = 2x^3 + Cx + D but I don't know how to get C even though I know D = 1.
*November 29, 2012 by asdf*

**calculus**

PLEASE HELP Find the first and second derivatives of the function. y = e^8ex. I keep getting y' = e^8ex * 8 and its wrong. how do you do this?
*February 6, 2011 by nic*

**calculus**

let f be a function 0 to 2pi with continuous first and second derivatives and suchthat f"x>0 for 0<x<2pi integral f(x)cosx from 2pm to 0
*February 17, 2012 by Toshi*

**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*

**Calculus (Derivatives)**

Show the steps to get the derivative function of -500/x by evaluating the limit. By limit, they are referring to the equation, lim h -> 0 (f(x + h)-f(x))/h
*November 9, 2011 by Mishaka*

**Calculus**

Find the partial derivatives of f(x,y)=(sinx + y)^(y sinx)
*December 4, 2008 by Shaniquaa*

**Calculus**

Find the derivatives of the function f(y)= sinh(sinh(7y).
*October 9, 2012 by Jake*

**Calculus**

a) Find d/dm (x^4m^5 + y^3m +z^6) b) Find the first and second derivatives of: v = 3t^2 + 8t + 11 v' = v'' =
*February 5, 2015 by Arin*

**calculus**

Quadratic function written in standard form where a, b, and c are constants such that a is not zero. f(x)= ax^2+bx+c Using calculus find the vertex of the parabola formed by this quadratic function. Determine under what conditions this vertex is a maximum or minumum (using ...
*May 8, 2011 by Janet*

**Calculus - Derivatives**

I need help finding the derivative of 100P^-2 I know that 100P^2 would be 200P, but the -2 is throwing me off. Could someone help me out here? Thanks.
*October 3, 2007 by Adam*

**Calculus (derivatives)**

Find the points on the graph of f where the tangent line is horizontal. x/x^2+25 I know you have to do the quotient rule to find the derivative, but then I do not know what to do after that.
*September 17, 2013 by Eve *

**calculus**

let f be the function f(x) = e^(2x^2) find the first four nonzero terms and the general term of the power series for f(x) about x = 0 i tried doing this problem but finding the derivatives gets way too complicated can anyone help??
*March 24, 2008 by Anonymous*

**Calculus Partial Derivatives**

Problem: Find dimensions of a box that provide the greatest volume when the length plus the girth cannot exceed six feet. I tried 2w+2h+l=6, l=6-2w-2h, but couldn't get to w=1, h=1, l=2, which is the correct answer.
*July 10, 2015 by Anonymous*

**Calculus Can you help**

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 but I'm not really sure if I...
*November 17, 2014 by Lily*

**calculus help**

Is there any good calculus websites out there that teach every possible derivative there is? Such as the basic rules of differentiation, product and quotient rules, chain rule? ((I'm really bad a understanding the square roots. )) My book gives me examples but I just something...
*October 11, 2008 by student01*

**calculus**

In dire need of help with derivatives. if f(x)=(x2+3x+6)3, find f'(x) if f(x)=3^1/2 / t^5 (square root of three divided by t to the 5th power), find f'(x) If f(x)=(3x+4)^1 , find f(x) .
*October 22, 2009 by michael*

**Calculus**

Find the derivatives, dy/dx for the following functions. a. x^2y^4 = lnx + 3y b. y = ln(2x^2 + 1) c. y = ln(x) d. y = lnx/x e. y = x^2 lnx f. y log_2(3x)
*April 16, 2013 by Tima*

**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*

**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**

Write the first four nonzero terms and the general term of the Taylor serires for f about x=0. f(x)=2x/(1+x^2) I feel that I'm doing this wrong because finding the derivatives of f(x) look really messy. Can you please show me the steps? Thanks in advance!
*February 9, 2012 by W*

**Calculus (Derivatives of Inverse Functions)**

Suppose f(x) = sin(pi cos(x)). On any interval where the inverse function y = f^-1(x) exists, the derivative of f^-1(x) with respect to x is: I've come as far as y = arccos ((arcsin(x))/pi), but I am not certain this is right.
*March 15, 2012 by Mooch*

**Calculus**

Hello, I really need help on these two homework problem. >< In problem #1, I believe it is related to the exponential functions and their derivatives section...in Calculus II? So, surely there should be a ln in the solution as well? I would like a step by step process ...
*January 31, 2015 by Aria*

**Calculus**

Using the derivative definition of f (x) = (f (x+h) f (x)) / (h) find the derivatives of the following 1. f(x) = (2x-1) / (x+2) 2. f(x) = sqrt (3x-1) 3. f(x) = 3x^4 my answers were: 1. x+3 2. (3) / [2(sqrt(3x-1))] 3. 12x^3 are my answers right?
*October 4, 2008 by Michelle*

**Maths Calculus Derivatives & Limits **

Using the definition of the derivative evaluate the following limits 1) Lim h---> 0 [ ( 8 + h )^1/3 - 2 ] / h 2) Lim x ---> pi/3 ( 2cosx - 1 ) / ( 3x - pi)
*October 25, 2011 by Yousef*

**Calculus-derivatives**

What is the slope of the tangent of each curve at given point y=√(16x^3), (4,32) If I find the derivative of y=√(16x^3) Will it be 16/-x^3
*February 15, 2012 by Jake*

**calculus**

find f'(x) for the following: f(x)= cos^5(4x-19) I keep getting 20cos^4(4x-19)sin, but the answer is supposed to be -20cos^4(4x-19)sin(4x-19). I can't seem to get there with derivatives
*March 16, 2011 by redgy*

**Calculus Partial Derivatives**

Verify that the sum of three quantities x, y, and z, whose product is a constant k, is maximum when these three quantities are equal.
*July 15, 2015 by Anonymous*

**// calculus - derivatives**

y = sec(5x) / x^2 my notes say y' = 5x^2sec5xtan5x-2xsec5x i get y'= sec5x(-2x^-3)+sec5xtan5x(5)(x^-2) when i change it to (sec5x)(x^-2) or by quotient rule [ (x^2)(sec5x)(tan5x)(5)-(sec5x)(2x) ] / (x^4) which is correct?
*October 24, 2009 by Laura*

**Calculus**

Okay so I have a question on my assignment that says: You are given that tan(y) = x. Find sin(y)^2. Express your answer in terms of x. I know its derivatives, and I've tried taking the derivatives of both etc, and got them both to come out as cos(y)^2, which I know can be ...
*October 21, 2006 by Tracy*

**calculus**

I am learning derivatives and I despise having to use the definition of the derivative. Please check my answer for this particular one! it is different from the one I get by differentiating. The question: f(x) = 2+x / x^3 my answer: -6x^2-2x^2
*April 24, 2011 by dylan*