Friday

December 19, 2014

December 19, 2014

Number of results: 13,573

**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**

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**

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**

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**

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 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*

**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**

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 - 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*

**Calculus (Integrals and Derivatives)**

Evaluate the following expression: d/dx (integration sign: upper=1 and lower= -3) (2t^3 + 3)dt = I am given the following options: 2t^3 + 3 56 5 -28.0 None of the above Would the result of the expression be 0 or 5???
*February 15, 2012 by Mishaka*

**Calculus (Derivatives)**

Find the derivative of the function f by using the rules of differentiation. F(x) = x^3 4x^2 + 3 / x The sign / means divided by (OVER)this problem looks like a big fraction. I am so lost though because I do not know why I keep getting 3x 4. Can someone please show me ...
*September 21, 2008 by B <3*

**CALCULUS DERIVATIVES CONTINUITY**

Let f be the function defined by the piecewise function: f(x) = x^3 for x less than or equal to 0 x for x greater than 0 Which of the following is true? a) f is an odd function b) f is discontinuous at x=0 c) f has a relative maximum d) f'(0) = 0 e) f'(x) > 0 for (x is not ...
*May 31, 2012 by NEED HELP NOW*

**Calculus Derivative- Taylor Series?**

let f(x)= x/x-1 find f'(x) f ''(x) and a formula for f ^ (n) * x. I found the first and second derivatives but do not know how to make a general equation for this. I have not learnt the Taylor or Maclaurin Series either. Thank you.
*March 10, 2013 by Lisa*

**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-derivatives**

Determine the derivative for y=tanxcosx a) y'=-sinxtanx + cosxsec^2x b) y'=-sinxtanx + cosxtanx c) y'=cosxsec^2x d) y'=sinx - cosxsec^2x
*March 8, 2012 by Melinda*

**calculus**

THE MEAN VALUE THEOREM; APPLICATIONS OF THE FIRST AND SECOND DERIVATIVES..... the base of an isosceles triangle is 6feet. Given that the altitude is 4feet and increasing at the rate of 2inches per minute, at what rate is the vertex angle changing? i really need help............
*March 3, 2011 by jazli*

**Calculus-derivatives**

Explain how to do these questions~ 1. An object moves in a straight line with its position at time t seconds given by s(t) = 3-2t+t^2, where s is the measured in metres. At what time is the object not moving? 2. Determine the coordinates of the point(s) on the graph of y=3x- 1...
*February 15, 2012 by Jake*

**calculus-derivatives**

Hello, please help me. I needed to find the derivative of f(x)= x^4 -2x^3 + x +1. I got f'(x)= 4x^3 -6x^2 +1. I would like to figure out the critical numbers so I can figure out where it increases and decreases, but I have no idea how to factor it... Is it even possible? Thank...
*March 15, 2012 by mary*

**calculus**

Find the dimensions of a rectangle with maximum area that can be inscribed in a circle of a radius of 10. Okay, so I know that I am going to need the Pythagorean theorem, where x^2+y^2=20^2 (20 is from the doubling of the radius which actually makes the hypotenuse of the ...
*January 12, 2012 by Amy*

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