Number of results: 27,653

**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 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**

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**

We are doing limits in Calculus, but now we are doing trig limits too and i do not get how to do any of them. For example ones like this, how do you do them? sec (x-1) / (x sec x) x approaches 0 ((3 sin (x)) 1 - cos(x)) / (x^2) x approaches 0 (sin (2x)) / (sin (3x)) x ...

*September 28, 2008 by Michael*

**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*

**Math - Calculus 1**

Approximate using derivatives. (Must show work using derivatives!) Do not use a calculator: (1.1)^4 - (1.1)^2

*October 7, 2016 by James*

**calculus (limits)**

Use limits to explain why f(x)= (7-3X)/(X+9) has a vertical asymptote.

*January 21, 2012 by k*

**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*

**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*

**Maths (limits)**

how do i evaluated these limits: lim x --> 3 ((square root of x^2 +16)- 5)/(x^2 - 3x) lim x--> to infinity (2+ 100/x)

*February 17, 2010 by Ren*

**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**

TWO examples of each of the following: two sided limits and theorem on limits (SUM, difference, product, quotient, nth root, ).

*August 29, 2012 by Anne*

**Math**

I'm in Calculus AP and we are learning about limits. I'm having trouble with finding limits algebraically. So here's a sample that you can use to help explain this to me. Find the limit of lim x (arrow to the right) 1 x-1/x(squared)-1. Please help!

*September 5, 2011 by Michael*

**AP Calculus**

Find each of the limits without a calculator. Use the limits as an aide to sketch the graph of f(x)= (x-2)/(|x|-2) for-10<_x<_10 and -6<_y<_6. Be sure to clearly indicate any asymptotes, holes or other important characteristics. lim x->∞ f(x)

*August 26, 2015 by Ana*

**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**

TWO examples of two sided limits and each theorem on limits.

*August 29, 2012 by Nicole*

**Maths Derivatives**

If y = x ^ n + ( 1 / x ^ n ) prove that ( x^2y'' ) + ( xy' ) - ( n^2y ) = 0

*October 25, 2011 by Yousef*

**Calculus please help!!! double integral**

Combine the following two integrals into one by sketching the region, then switching the order of integration. (sketch the region) im gonna use the S for integral sign..because idk what else to use. SS6ycos(x^3-3x)dxdy+SS6ycos(x^3-3x) And the first integration limits for x are...

*March 22, 2012 by Sean*

**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*

**Maths**

Find the derivatives of these: f(x)=√

*November 13, 2012 by alexis*

**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**

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**

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. 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 (Calculus III)**

In this example we should use the beta function. But I'm a bit lost, because I don't know how to change the limits of the integral to fit the one that is needed when using B-function. The problem goes like this: integrate cos^7(x) dx, limits of the integral are from 0 to pi.

*November 17, 2015 by Marie*

**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*

**calculus**

Anti-Derivatives 2x^6-x^3/x^2

*December 11, 2015 by Jason*

**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*

**maths**

find the maximum valu of any of the function without using derivatives 16x+8x+7

*June 26, 2014 by sandeep*

**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*

**Maths Calculus**

We want to build a rectangular cardboard box with no top and of given volume V using the least quantity of cardboard. Find the length of the box's edges by fnding the minimum of the total surface function. Verify that the point you found is indeed a minimum applying the second...

*April 25, 2013 by Mohit*

**maths, limits**

lim of x to 0 = x^2+1

*August 24, 2013 by dlvan*

**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 for 3x^4-4xy^2+7=2y

*October 14, 2015 by jack*

**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-derivatives**

At what points on the graph of f(x)=6x^2+4x-9 is the slope of the tangent line -2?

*February 8, 2017 by Angel*

**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 ã 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**

If F(x)=f(g(x)-h(x)), where g(3)=5, h(3)=4, g'(3)=3, h'(3)=1 and f'(1)=10, find F'(3). I know how to do derivatives and all, but I rlly can't figure this question out

*August 17, 2016 by Aa*

**CALCULUS 2!!! PLEASE HELP!!**

I'm having trouble with this question on arc length: y=lnx, (squareroot)3/3 greater than or equal to x less than or equal to 1 It sounds as if you want the length of the y = ln x curve from x = sqrt(3)/3 (0.57735..) to 1. The formula for the arc length of a line y(x) is Length...

*October 19, 2006 by Krystal*

**Calculus 1**

Write a function that has two infinite limits at two different x-values. Write a function where both one sided limits exist at some x value but the two sided limit do not. I don't understand how this would look, please help!

*January 13, 2015 by Roger*

**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*

**maths**

Integrate ( x^2cosx)/(1+sinx)^2 dx with limits form 0 ti pi/4

*February 16, 2013 by Anonymous*

**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*

**mathematics-calculus-derivatives**

. If y=cosx, find dy/d5x please show workings #thanks

*March 30, 2016 by P1*

**Maths Calculus Derivatives**

Find the first derivative for the following functions 1) f(x) = sin(cos^2x) cos(sin^3x) 2) f(x) = ( tan 2x - tan x ) / ( 1 + tan x tan 2x ) 3) f(x) = sin { tan ( sqrt x^3 + 6 ) } 4) f(x) = {sec^2(100x) - tan^2(100x)} / x

*October 22, 2011 by Yousef*

**maths-urgently needed**

Integrate ( x^2cosx)/(1+sinx)^2 dx with limits from 0 to pi/4

*February 17, 2013 by Anonymous*

**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*

**mathematics-calculus-derivatives**

. Try this. If y=cosx find dy/d5x please show workings #thanks

*March 30, 2016 by P1*

**calculus**

Find all first and second partial derivatives of z with respect to x and y if x^2+4y^2+16z^2−64=0.

*August 24, 2016 by andre*

**Calculus - Derivatives**

Use implicit differentiation to find the second derivative y'' of the function given. x^2 + 5y^3 = 8

*March 10, 2017 by John *

**Calculus (Limits)**

Let f be defined as follows, where a does not = 0, f(x) = {(x^2 - 2a + a^2) / (x-a), if x does not = a 5, if x = a Which of the following are true about f? I. lim f(x) exists as x approaches a II. f(a) exists III. f(x) is continuous at x = a. A. None B. I, II, and III C. I ...

*October 22, 2011 by Mishaka*

**Maths - Integration**

Find the exact value of the intergal with limits 1 and 0 respectively for the x^2 e^2x dx.

*December 12, 2012 by Anonymous*

**Calculus (Derivatives)**

Using the product rule, find the derivative of the following function: (x^1/2 cscx sinx).

*November 7, 2011 by Mishaka*

**Calculus: Implicit Derivatives**

Compute d/dx[f(g(x))] -where f(x)=x^4-x^2 -and g(x)=x^2-7 (Note: I tried 5 times but I still got this wrong. Plz help)

*March 7, 2016 by Dominick*

**Calculus**

Find the Limits. lim [t^3 + 3t^2]/[t^3 - 4t^2] t->0

*October 8, 2011 by Nemo*

**Math - Calculus**

how to solve limits?

*July 9, 2012 by John*

**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...

*July 18, 2014 by Daksh*

**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*

**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**

Following 2 questions are from a book at a point where L’Hopital’s Rule, Squeeze Theorem etc. have not been discussed and limits (A) and (B) as given below are to be evaluated by simple methods like algebraic simplification etc. 1. Int. of (xlogx)dx from 0 to 1. Indefinite...

*March 12, 2014 by MS*

**Calculus**

Following 2 questions are from a book at a point where L’Hopital’s Rule, Squeeze Theorem etc. have not been discussed and limits (A) and (B) as given below are to be evaluated by simple methods like algebraic simplification etc. 1. Int. of (xlogx)dx from 0 to 1. Indefinite...

*March 13, 2014 by MS*

**Calculus**

Using the first of these limits, find f'(3) if f(x)=4x^2+4x-2

*September 3, 2009 by Z32*

**Calculus**

Evaluate the following limits (x^2 + 2x - 8)/x-2 Lim x->2

*April 29, 2013 by Drew*

**Calculus**

Show, using limits, that f(x) = x2 – x + 3, is continuous at x = 2.

*March 12, 2014 by Anonymous*

**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*