Tuesday

August 30, 2016
Number of results: 80,460

**Maths Calculus Derivative Integral - Urgent Please**

Use 2nd Fundamental Theorem of Calculus to find derivative of f(x) = integral of 2x^2 (at the top) to x-5 (at the bottom) of square root of Sin(x)dx
*October 18, 2010 by Nick*

**Calculus Help Please Urgent!!!**

Prove that the integral on the interval [a,b] of x is equal (b^2-a^2)/2 integral a to be (x)dx = (b^2-a^2)/2 using the definition of a Definite Integral. This is the limit of a sum approach. show steps please!!! Thank you!!!
*April 30, 2014 by Anonymous*

**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*

**Calculus Help Please Urgent!!!**

Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to four decimal places. integral from o to pi/2 (2cos^3(x))dx , n = 4 M4 = ?????? Thanks!!!
*May 7, 2014 by Susan *

**please help me calc. have test tom**

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 13, 2006 by david*

**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*

**Calculus (urgent help)**

consider the function f that is continuous on the interval [-5,5] and for which the definite integral 0(bottom of integral sign) to 5(top of integral sign) of f(x)dx=4. Use the properties of the definite integral to evaluate each integral: (a) definite integral from 0(on the ...
*April 8, 2015 by Linda*

**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*

**Calculus**

I have two questions, because I'm preparing for a math test on monday. 1. Use the fundamental theorem of calculus to find the derivative: (d/dt) the integral over [0, cos t] of (3/5-(u^2))du I have a feeling I will be able to find the derivative easily, I'm just having trouble...
*May 9, 2009 by Jennifer*

**calculus**

Find the length of the arc formed by y = (1/8)(4x^2-2ln(x)) from x=4 to x=8. I found the derivative of the function and got y'= x-(1/4x) Where I'm lost now is after plugging it into the arc length equation: integral of sqrt(1+(x-(1/4x))^2). Squaring the derivative yields me ...
*August 24, 2008 by Arc Length*

**Math**

Use 2nd Fundamental Theorem of Calculus to find derivative of f(x) = integral of 2x^2 to x-5 of square root of Sin(t)dt. Please help.
*October 17, 2010 by Nick*

**Calculus**

1) Find the derivative with respect to x of Integral from 1 to X^3 of sqrt( 1 + t) dt I got sqrt( 1 + X^6) * 3x. Is that right? 2) Integral from 0 to pi/2 of Xcos(X)dx
*December 5, 2007 by Sam*

**AP calculus**

∫[0,x^(3),(t)/√(1+t^(3)),] Find the derivative of the integral. A. (3(x^3))/((1+(x^9))^0.5) B. (x^3)/((1+x^9)^0.5) C. (3x^3)/((1+x^3)^0.5) D. (5x^3)/((1+x^6)^0.5) E. (3x^5)/((1+x^3)^0.5) I think the answer is A. Can you check my answer please?
*January 27, 2013 by Anonymous*

**Calculus**

Hello, I have some calculus homework that I can't seem to get started..at least not on the right track? I have 3 questions 1. integral of [(p^5)*(lnp)dp] I'm using the uv-integral v du formula So first, I'm finding u and I think it's lnp.......so du is 1/p Then, I think dv = p...
*January 23, 2007 by Shelley*

**calculus(urgent pls) **

Integral of 1/[x^2(1+x^2)]
*May 8, 2015 by ben*

**Calculus**

If f(x) and g(x) are continuous on [a, b], which one of the following statements is true? ~the integral from a to b of the difference of f of x and g of x, dx equals the integral from a to b of f of x, dx minus the integral from a to b of g of x dx ~the integral from a to a of...
*March 15, 2016 by Tiff*

**calculus (please with steps and explanations)**

consider the function f that is continuous on the interval [-5,5] and for which the definite integral 0(bottom of integral sign) to 5(top of integral sign) of f(x)dx=4. Use the properties of the definite integral to evaluate each integral: (a) definite integral from 0(on the ...
*April 9, 2015 by Linda*

**Calculus**

Find the anti-derivative of the integral [(7t^2+6t-15)/t^4]dt
*February 5, 2015 by Anonymous*

**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**

Given the equation xy = 2, set up an integral to find the length of path from x = a to x = b and enter the integrand below. I did the integral from b to a and set it equal to the sqrt(1+4/x^4), because I found y to equal 2/x and the derivative to be -2/x^2, but I think I am ...
*March 13, 2009 by Katelyn*

**Calculus**

Find the derivative of Integral from -5 to sin(x) of cos(t^3)+t
*September 7, 2008 by Ben*

**calculus **

Find the derivative d/dx of the integral from x to a of cos(sin(t)) dt
*December 8, 2011 by wizard*

**AP calculus**

∫[0,x^(3),(t)/√(1+t^(3)),] Find the derivative of the integral. A. (3(x^3))/((1+(x^9))^0.5) B. (x^3)/((1+x^9)^0.5) C. (3x^3)/((1+x^3)^0.5) D. (5x^3)/((1+x^6)^0.5) E. (3x^5)/((1+x^3)^0.5)
*January 27, 2013 by Anonymous*

**Calculus**

Find the anti-derivative of the integral (7tan^2x+12)dx
*February 5, 2015 by Anonymous*

**Calculus**

Find the anti-derivative of the integral [3sqrt(x)(2x^2-4)]dx
*February 5, 2015 by Anonymous*

**calc asap!**

can you help me get started on this integral by parts? 4 S sqrt(t) ln(t) dt 1 please help! thanks! Integral t^(1/2)Ln(t)dt = 2/3 t^(3/2)Ln(t)- 2/3 Integral t^(1/2) dt = 2/3 t^(3/2)Ln(t) - 4/9 t^(3/2) Simpler method: Integral t^(a)dt = t^(a+1)/(a+1) Integral d/da [t^(a)]dt = d/...
*June 7, 2007 by Woof*

**calculus help**

find the derivative of the function. integral cos(x) to sin(x) ((ln(8+3v))dv)
*May 1, 2014 by Kevin*

**calculus help**

find the derivative of the function integral from cosx to sinx (ln(8+3v)dv)
*May 1, 2014 by Chris*

**Calculus(URGENT PLS!!!)**

Find the integral of (e^cosx)sinx
*May 8, 2015 by ben*

**Calculus URGENT test tonight**

Integral of: __1__ (sqrt(x)+1)^2 dx The answer is: 2ln abs(1+sqrt(x)) + 2(1+sqrt(X))^-1 +c I have no clue why that is! Please help. I used substitution and made u= sqrt(x)+1 but i don't know what happened along the way! Your first step was a good one. next, let u = sqrt x + 1 ...
*April 20, 2007 by Gabriela*

**calculus urgent**

If you are given a graph of a function, how do you draw the derivative?
*September 30, 2007 by jen*

**calculus**

using the fundamental theorem of calculus what is the derivative of the definite integral from x^3 to sqrt x of (sqrt t) sin t dt
*January 2, 2011 by adela*

**Math/Calculus**

How would I solve the following integral with the substitution rule? Integral of: [(x^3)*(1-x^4)^5]dx Put 1-x^4 = y Then -4x^3 dx = dy Integral is then becomes: Integral of -1/4 y^5 dy ok, thanks a lot! I got it now.
*May 28, 2007 by COFFEE*

**Calculus**

Find the volume of the solid whose base is the region in the xy-plane bounded by the given curves and whose cross-sections perpendicular to the x-axis are (a) squares, (b) semicircles, and (c) equilateral triangles. for y=x^2, x=0, and y=0 (a) integral (x^2)^2 from 0 to 2=32/5...
*December 15, 2007 by Anonymous*

**Calculus II**

Integrate using integration by parts (integral) (5-x) e^3x u = 5-x du = -dx dv = e^3x v = 3e^3x I wonder if this is right so far. = uv - (integral) v du = (5-x)(3e^3x) - (integral) (-3e^3x) =(5-x)(3e^3x) + (integral) (3e^3x) = (5-x)(3e^3x) + 9e^3x + C
*December 30, 2012 by Katie*

**calculus -- PLEASE HELP!**

1. Describe how you could approximately find the total number of particles in a rectangular box that is 2m x 2m x 3m by making no more than 12 samples. 2. You know the following facts about a function f(x): The derivative of f(x) is 6x + 4. The integral of f(x) from 1 to 3 is ...
*February 18, 2008 by anonymous*

**calculus**

What is the definite integral from 0 to x of 1/(4 + t + 3t^2) dt? For starters, what is the anti-derivative and how did you find it? I think I could take it from there.
*April 14, 2010 by Gabe*

**calculus help**

find derivative of integral( t sint dt) upper limit 1+2x, lower limit 1-2x Show step by step please! Thank you
*May 6, 2014 by Sibel*

**maths help needed!(urgent)**

find the equation of the tangent to y=x-(a^3/x^2) at the point (a,0) how to i work this out??can someone please show me how to do it step by step?thanks!!! Take the dervative of y y= x- a^3 x^-2 y'=1+2a^3/x^3 so the equation for the tangent is y= mx + b where m is y' above ...
*May 30, 2007 by Emma*

**Calculus 2 (Differential Equation)**

How would you solve the following problem explicitly? Sqrt(1-y^2) dx - sqrt(1-x^2) dy I separated the x and y terms and got: Integral of 1/sqrt(1-x^2) dx = Integral of 1/sqrt(1-y^2) dy I was wondering how would you take the anti-derivative of each function. I believe we are ...
*March 26, 2015 by Rena*

**Calculus1**

find the derivative using fundamental theorem of calculus integral of sin^3tdt from e^x to 0
*August 3, 2016 by Anonymous*

**Calculus II/III**

A. Find the integral of the following function. Integral of (x√(x+1)) dx. B. Set up and evaluate the integral of (2√x) for the area of the surface generated by revolving the curve about the x-axis from 4 to 9. For part B of our question , the surface of revolution ...
*February 19, 2007 by Ryoma*

**CALCULUS! PLEASE HELP URGENT!**

Which of the following functions have a derivative at x=0? I. y= absolute value(x^3-3x^2) II y= square root(x^2+.01)- absolute value (x-1) III y= e^x/cosx
*October 8, 2009 by Mark*

**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 *

**calculus please help**

what is the integral of x/(1+x^2)^2 dx This is a question of a past AP exam of calculus BC i know i have to use the substitution method where u=(1+x^2), du=2xdx. I have to find the integral but i'm just focused on the coefficient because i get a different answer for that part ...
*April 4, 2007 by david*

**Math**

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function h(x)=integral [2,1/x]sin^4t dt
*July 26, 2010 by Eileen*

**Calculus**

Integration with U-Substitution Integral of [x/sqrt(x+1)] dx I'm getting confused with how to deal with the x when I find the derivative of (x+1) because they don't match.
*February 12, 2015 by Anonymous*

**MATHS! URGENT!**

describe how each sequence is generated and write down the next two terms: a) 40 41 43 46 50 55 b)90 89 87 84 80 75 c)1 3 7 13 21 31 d) 2 6 12 20 30 42 PLEASE HELP its urgent!
*September 29, 2010 by Ami*

**Calculus (double integral) PLEASE HELP!**

Evaluate double integral ln((x-y)/(x+y)) dy dx where the double integral region is the triangle with vertices (1,0),(4,3), (4,1). Hint: use a transformation with the Jacobian.
*February 8, 2016 by David*

**integral Calculus**

Please help me with this integral problem: ʃ x^2(a^2-x^4)^2dx please help..thanks alot:)
*December 7, 2011 by WAN*

**calculus**

Please help with this. I need the first derivative of f(x)=4(x+squareroot (x(8-x)) and then the second derivative of this to show by the second derivative test that it is a local maximum. This is difficult to put into form here and I hope I have got it right. Many thanks.
*February 24, 2011 by Frank*

**Calculus**

Evaluate the integral: the integral of [5e^(2t)]/[1+4e^(2t)]dt. I used u sub and let u=e^2t and got 5/2arctan(e^2t)+C. But this answer is incorrect. Please help. Thanks
*November 16, 2010 by Adam*

**Calculus**

Evaluate the integral: the integral of [5e^(2t)]/[1+4e^(2t)]dt. I used u sub and let u=e^2t and got 5/2arctan(e^2t)+C. But this answer is incorrect. Please help. Thanks
*November 16, 2010 by Adam*

**Calculus**

integral -oo, oo [(2x)/(x^2+1)^2] dx (a) state why the integral is improper or involves improper integral *infinite limit of integration (b) determine whether the integral converges or diverges converges? (c) evaluate the integral if it converges I know f(x)=arctan->f'(x)=1...
*February 8, 2008 by Anonymous*

**Calculus**

Use a symbolic differentiation utility to find the derivative of the function g(x)=x((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**

In the interval (0 is less than or equal to x which is less than or equal to 5), the graphs of y=cos(2x) and y=sin(3x) intersect four times. Let A, B, C, and D be the x-coordinates of these points so that 0<A<B<C<D<5. Which of the definite integrals below ...
*December 5, 2013 by Rasheda*

**calculus**

if f(x)= the integral of lntdt from sqrt(x) to 2, what is f'(x)? Do you solve the integral first then derive it? And if so, wouldn't that just give you the function? Please help
*December 18, 2013 by Anonymous*

**Calculus Please Help2**

Evaluate the integral by using substitution. Use an upper-case "C" for the constant of integration. integral x^5((x^6-2)^10)dx ty
*April 25, 2014 by Babak*

**Calculus I**

Find the derivative of y=ln((1+e^x)/(1-e^x)) I know that the derivative of y=ln(1+e^x) would be (e^x)/(1+e^x), but I'm not sure what to do with the 1-e^x on the bottom here. Can someone help please? Thanks!
*May 21, 2012 by Marissa*

**calculus**

how do you solve the integral of 1/[(square root of x)(lnx)] from 2 to infinity? i did the p- integral theorem with 1/square root of x and got it to be a divergent integral. however i was told this was the wrong way and that i should do it by integration by parts. but i can't ...
*August 25, 2009 by kathryn*

**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*

**calculus**

Please help with this. I submitted it below and was asked to clarify by Henry (hope this is clearer and thank you). I need the first derivative of f(x)=4(x+ sqrt (x(8-x)).And then the second derivative of this to show by the second derivative test that it is a local maximum. ...
*March 4, 2011 by Frank*

**Calculus**

Use the symmetry of the graphs of the sine and cosine functions as an aid in evaluating each definite integral. (a) Integral of sinx*dx from -pi/4 to pi/4 (b) Integral of cosx*dx from -pi/4 to pi/4 (c) Integral of cosx*dx from -pi/2 to pi/2 (d) Integral of sinx*cosx*dx from -...
*November 15, 2009 by John*

**Calculus**

I'm having some issues with computing this indefinite integral. I don't know how to even begin. Please help! (let S be the symbol for the integral) S (square root (x)+e^-3x) dx
*May 1, 2012 by Casidhe*

**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 Please Help **

Evaluate the indefinite integral Note: Use an upper-case "C" for the constant of integration. integral sqrt(100x^2-400)/x dx Ty
*May 9, 2014 by Josh*

**calculus**

8). Part 1 of 2: In the solid the base is a circle x^2+y^2=16 and the cross-section perpendicular to the y-axis is a square. Set up a definite integral expressing the volume of the solid. Answer choices: integral from -4 to 4 of 4(16-y^2)dy, integral from -4 to 4 of (16+y^2)dy...
*April 14, 2013 by Sally*

**Calculus 2**

The question is: Evaluate the improper integral for a>0. The integral is: the integral from 0 to infinity, of e^(-y/a)dy Can anyone help me solve this? When I try I get 'a', which apparently is incorrect. Thank you!
*September 25, 2011 by Sara*

**calculus**

consider the function f that is continuous on the interval [-5,5] and for which the definite integral 0(bottom of integral sign) to 5(top of integral sign) of f(x)dx=4. Use the properties of the definite integral to evaluate each integral: (a) definite integral from 0(on the ...
*April 8, 2015 by Linda*

**Calculus - repost**

Find the derivative of F(x)= integral from -2 to x of sqrt(t^3+8)dt? My answer: sqrt(x^3+8)? Is this right?
*September 6, 2008 by Amanda*

**Calculus**

evaluate the integral or state that it diverges. Check if I did it correctly. integral 0,1 dr/r^.999 lim b->0+ integral b, 1 1000r^.001 =-1000
*February 8, 2008 by Anonymous*

**Integral calculus**

You have not proved to me that the Integral of lnsinx w.r.t.x from 0 to pi/2 is equal to:Integral of lnsinx w.r.t.x from 0 to pi/4 plus Integral of lncosx w.r.t.x from 0 to pi/4.
*June 13, 2012 by alsa*

**differential equations**

the directions are to determine whether or not the equation is exact if so then solve it. the question is (x-y^3+ysinx)dx = (3xy^2+2ycosx)dy i solve and i got that it is exact because My is -3y^2+2ysinx and Nx is -3y^2+2ysinx since m and n are equal then they are exact then i ...
*October 8, 2008 by allison*

**Calculus - Integrals**

I have 3 questions, and I cannot find method that actually solves them. 1) Integral [(4s+4)/([s^2+1]*([S-1]^3))] 2) Integral [ 2*sqrt[(1+cosx)/2]] 3) Integral [ 20*(sec(x))^4 Thanks in advance.
*March 23, 2008 by David*

**Calculus - Integrals**

I have 3 questions, and I cannot find method that actually solves them. 1) Integral [(4s+4)/([s^2+1]*([S-1]^3))] 2) Integral [ 2*sqrt[(1+cosx)/2]] 3) Integral [ 20*(sec(x))^4 Thanks in advance.
*March 24, 2008 by David*

**calculus **

LEt f and g be continous functions with the following properties i. g(x) = A-f(x) where A is a constant ii. for the integral of 1 to 2 f(x)dx= the integral of 2 to 3 of g(x)dx iii. for the integral from 2 to 3 f(x)dx = -3A a find the integral from 1 to 3 of f(x)dx in terms of ...
*February 13, 2011 by Little*

**calculus **

LEt f and g be continous functions with the following properties i. g(x) = A-f(x) where A is a constant ii. for the integral of 1 to 2 f(x)dx= the integral of 2 to 3 of g(x)dx iii. for the integral from 2 to 3 f(x)dx = -3A a find the integral from 1 to 3 of f(x)dx in terms of ...
*February 13, 2011 by alex *

**Calculus**

(x+y)^4 can be expanded starting at x^4*y^0 and taking the sum of the products of the derivative of the x term and the integral of the y term? Why does this work?
*October 25, 2009 by John*

**Calculus**

Find the derivative of F(x)= integral from -2 to x of sqrt(t^3+8)dt? My answer: sqrt(x^3+8)?
*September 6, 2008 by Amanda*

**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**

evaluate integral or state that it is diverges integral -oo, -2 [2/(x^2-1)] dx ----------------------------------- integral -oo, -2 [2/(x^2-1)] dx Through partial fractions, I came up with lim [ln(x-1)-ln(x+1)] b, -2 b->-oo I get (ln(3)-0)-(oo-oo)). The answer in the back ...
*February 11, 2008 by Anonymous*

**Calculus integral**

evaluate the integral: integral from -pi/4 to 0 for the function 6sec^3x dx. it has to be an exact answer and i did it and keep getting it wrong. I got 4sqrt(2)-4ln(-sqrt(2)+1)
*October 16, 2012 by kajri*

**calculus**

Please help with this. I submitted it below but no one responded. I need the first derivative of f(x)=4(x+ then the square root to include (x(8-x)), then close bracket.And then the second derivative of this to show by the second derivative test that it is a local maximum. This...
*March 1, 2011 by Frank*

**Calculus II**

y = *The Integral Of sin(4e^t)dt* a = 0 b = ln(2x) I'm supposed to find the derivative of y with respect to x. Except I just can't find the right answer.
*November 25, 2007 by Sean*

**MATH urgent**

Hello!! 1. find the third derivative of f(t)=(t-1)/(t+1) 2. y= x^(x^2) ; dy/dx please help! thank you!
*December 6, 2012 by Jess*

**calculus**

1. integral -oo, oo [(2x)/(x^2+1)^2] dx 2. integral 0, pi/2 cot(theta) d(theta) (a) state why the integral is improper or involves improper integral (b) determine whether the integral converges or diverges converges? (c) evaluate the integral if it converges CONFUSE: how would...
*February 10, 2008 by Anonymous*

**calculus**

consider the function f(x) = e^x(sinNx) on the interval [0,1] where N is a positive integer. a) Compute the integral from 0 to 1 of f(x). Evaluate this integral when N=5, N=10, and N=100. B) What happens to the graph and to the value of the integral as N-->infinity? Does ...
*February 23, 2010 by Lindsay*

**calculus**

consider the function f(x) = e^x(sinNx) on the interval [0,1] where N is a positive integer. a) Compute the integral from 0 to 1 of f(x). Evaluate this integral when N=5, N=10, and N=100. B) What happens to the graph and to the value of the integral as N-->infinity? Does ...
*February 23, 2010 by anonymous*

**Calculus**

use te fundamental theorem of calculus to evaluate the integral Integral [0, pi/3] sin^2(x)dx I'm confused on what F(x) should be
*July 7, 2016 by Sarah*

**Calculus**

for the function F(t)=ln(t^2), let f(t)=F'(t). Write the integral from a to b of f(t) dt and evaluate it with the fundamental theorem of calculus. the integral from 1 to 3 ___ dt= __
*November 30, 2011 by bob*

**trig integration**

s- integral endpoints are 0 and pi/2 i need to find the integral of sin^2 (2x) dx. i know that the answer is pi/4, but im not sure how to get to it. i know: s sin^2(2x)dx= 1/2 [1-cos (4x)] dx, but then i'm confused. The indefinite integral of (1/2) [1-cos (4x)] is (x/2) - (1/2...
*February 18, 2007 by christine*

**Maths - Calculus **

Can anyone help with this...I need to find the derivative of the functions below. If possible please show working so I can try and understand? f(t) =3-t^4 and g(t)=sin(4t) Then using the Quotient Rule differentiate the function k(t) 3-t^4/ sin(4t) (0<t< pie)
*February 13, 2011 by Christine *

**Maths - Calculus **

Can anyone help with this...I need to find the derivative of the functions below. If possible please show working so I can try and understand? f(t) =3-t^4 and g(t)=sin(4t) Then using the Quotient Rule differentiate the function k(t) 3-t^4/ sin(4t) (0<t< pie)
*February 13, 2011 by Christine *

**Calculus**

What is the integral or e^(-x)? What is the derivative of - e-x ?
*March 26, 2007 by Ari*

**Calculus**

Evaluate the improper integral or state that it diverges: integral from -inf to inf (2xe^-x) dx. Please help!
*March 20, 2014 by diana*

**Calculus - derivatives**

Okay, I want to find the derivative of (x^x)^(x^x)... Well, I already went through the process of finding the derivative of just x^x (I used ln to do this). This is what I found... dy/dx = x^x(lnx+1) So now I want to find the derivative of (x^x)^(x^x) (using ln). This is what ...
*November 29, 2009 by Lucy X*

**Maths Calculus**

Find the first derivative for the following functions 1) x^3 . sqrt( 3x^5 + 1 ) . sin (7x)
*October 22, 2011 by Yousef*

**Calculus**

Can someone look over my work and tell me if my steps look correct? I'm trying to correct some problems that looked wrong. Instructions: Find the total areas between the given curves. 1. x= (y^3) and x=(y^2) on the interval [0,1] (integral from 0 to 1 of) ((y^3)-(y^2))dy = (...
*September 10, 2009 by Jenna*

**calculus**

how do you find the derivative of (X^2(2+x^1/2))/x^4. I'm confused because of the exponents rules. please show me the steps in simplifying the exponents then taking the derivative.
*October 23, 2007 by jennifer*

**Calculus**

Find a curve through the point (1,1) whose length integral is given below. L= integral from 1 to 4 sqrt(1+(1/4x))dx Let the curve be y=f(x). Determine (dy/dx)^2 PLease help I m nt sure even how to start this
*September 17, 2012 by kavlo*