Number of results: 10,598

**Maths Derivatives & Calulus**

1) Find d^2y / dx^2 given that y^3 - x^2 = 4 2)If y = xª + ( 1 / xª ) , prove that x^2 . y'' + xy' – a^2 . y = 0 3) Find dy/dx for the following function. cos ( x - y ) = ( y ) ( 2x + 1 ) ^3 4)Find the values of A and B that make f(x) differentiable at x = 0 f(x) = A + 2x...

*October 21, 2011 by Yousef*

**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*

**Maths Derivatives**

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

*October 25, 2011 by Yousef*

**Maths**

Find the derivatives of these: f(x)=√

*November 13, 2012 by alexis*

**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*

**maths**

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

*June 26, 2014 by sandeep*

**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*

**calulus**

lim tanx - x x->0 x^2

*August 15, 2010 by Lereesa*

**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*

**Calulus 2**

Solve the differential equation: dy/dx = y^2 + y

*October 30, 2012 by Heather*

**Calulus**

At what interval is 2x^3+0x^2-54x+6 increasing?

*May 2, 2013 by Lauren*

**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*

**Pre calulus only 15 min left HELP!**

((ln(x))^1/2)/(ln(x^1/2))=6 solve for x

*March 3, 2013 by tyler*

**Calulus**

Fundamental Theorem of Calculus 1. (4e^x-3)dx plus the number in x (6,1)

*December 11, 2015 by Daniel*

**Calulus**

[(5.2)^x (5.2)^-7]/(5.2)^-5 That whole thing is (5.2)^9 But I have no idea how to find the exponent x?

*March 24, 2009 by Callie*

**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*

**Maths**

Find the derivatives of these: f(x)=(√(x))sinPix Also: f(x)=√(Cosx+sinx) Steps would be greatly helpful as I will be able to use them as reference. Thank you.

*November 13, 2012 by Alexis*

**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*

**Calulus**

Find f'(x): f(x)=(x^2-3x)/x^2 A. 2x-3/x^2 B. 2x-3/2x C. 1-(3/x) D. 3/x^2 E. None of these I can put it into the division rule for the derivative but get confused when I'm simplifying.

*November 30, 2014 by Anonymous*

**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**

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*

**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**

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*

**Calulus**

Given \displaystyle \int_0^{\frac{3\pi}{2}} x^2\cos x \, dx = a - \frac{b\pi^2}{c}, where a, b and c are positive integers and b and c are coprime, what is the value of a + b + c?

*March 10, 2013 by John*

**Calulus**

Solve the triangle.Round lenghts to the nearest tenth and angle measurements to the nearest degree. B = 43 C = 107 B = 14

*November 19, 2007 by kelly*

**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*

**Calulus Completely lost**

Find the indicated one-sided limit, if it exists 1.lim f(x) and lim f(x), where x->0^+ x->0^- 2. f(x) = [2x if x is less than 0] [x^2 if x is greater than or equal to 0]

*February 8, 2011 by Anonymous*

**calulus**

A plane flying at a constant rate of 200km/hr. What is the distance travelled by the plane 3mintues after it passes the observation point.

*November 3, 2012 by Daniella*

**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*

**calulus**

The volume of the solid obtained by rotating the region enclosed by y=x^2 y=2x about the line x=2 can be computed using the method of disks or washers via an integral The volume is V

*May 4, 2012 by cjones*

**Calulus**

Use the Midpoint Rule with n =3 to approximate the integral ç−1−8(10x−9x2)dx

*May 12, 2013 by Ryan*

**Help- Calulus**

A. If the focal length of the convex lens is supposed to be 5 cm, and if the image is formed 7 cm from the lens, find the distance, p, from the lens to the object. (It’s not necessary to simplify your answer.) Equation: 1/p + 1/q = 1/f

*October 17, 2014 by Mary*

**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*

**calulus**

a particle is moving along the cure y=sqrt x. as the particle passes through the point (4,2), its x-coordinate increase at a rate of 3 cm/s. how fast is the distancefrom the particle to the origin changing at this instant?

*November 19, 2009 by jackie*

**Calulus**

You have 300 square feet of wood you will use to construct a rectangular shed with a square base and top. What is the maximum volume of your shed? Optimization Question

*December 11, 2015 by Daniel*

**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*

**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 III**

Hi, this question is about Langrange multipliers. Given f(x,y) = y^2 - x^2, subject to the constraint g(x,y) = 0.25x^2 + y^2 = 1, find the max and mins. So I found the partial derivatives for both f(x,y) and g(x,y): fx = -2x fy = 2y gx = 0.5x gy = 2y And set them up for the ...

*December 9, 2016 by Justin*

**Calculus III**

Hi, this question is about Langrange multipliers. Given f(x,y) = y^2 - x^2, subject to the constraint g(x,y) = 0.25x^2 + y^2 = 1, find the max and mins. So I found the partial derivatives for both f(x,y) and g(x,y): fx = -2x fy = 2y gx = 0.5x gy = 2y And set them up for the ...

*December 10, 2016 by Justin*

**Calculus III**

Hi, this question is about Langrange multipliers. Given f(x,y) = y^2 - x^2, subject to the constraint g(x,y) = 0.25x^2 + y^2 = 1, find the max and mins. So I found the partial derivatives for both f(x,y) and g(x,y): fx = -2x fy = 2y gx = 0.5x gy = 2y And set them up for the ...

*December 11, 2016 by Justin*

**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*

**calculus**

derivatives. f(x)=(1/-7x^12) f'(2)=? f'(-1)=?

*January 18, 2008 by mike*

**Math-Derivatives!!!**

-4x^4 x^1/2+(-7/(x^2 x^1/2))

*September 9, 2010 by Janel*

**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*

**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**

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*

**Derivatives**

differentiate and simplify y= (e^x - 1) / x^2

*March 25, 2012 by help*

**calculus**

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

*December 11, 2015 by Jason*

**Math derivatives**

Let f(2)=3, g(2)=4, f'(2)=5, g'(2)=6, f'(3)=7, g'(3)=8, etc. find (f∘g)′(2)

*February 21, 2017 by Anonymous*

**calulus**

The top and bottom margins of a poster are 8 cm and the side margins are each 6 cm. If the area of printed material on the poster is fixed at 380 square centimeters, find the dimensions of the poster with the smallest area. find the width and height

*March 19, 2012 by Mandy*

**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*

**Calulus**

Hi there I need help with one of the problem from my homework package. This week for my calculus class, we were learning how to do partial derivative and finding the tangent of the plane. So I do not know how to approach this problem. Please help me by how to derive this ...

*October 25, 2009 by shylo*

**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*

**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*

**Calculus Graph help!!!**

I need help with a calulus graph and figuring out its equation but it wont let me post the picture of the graphs here. so will someone who understands Calculus and their graphs super well please email me k m k underscore horse lover at hot mail dot com. no spaces and an actual...

*May 2, 2012 by kelsey*

**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**

Find the derivatives of the function g(t)= cosh^3 t.

*October 9, 2012 by Joe*

**math**

what is meanning frechet and gateaux derivatives

*November 6, 2015 by assma*

**Calc Derivatives**

Find the critical points of (4x-3)/(3x^(1/2))

*March 5, 2016 by Isabella*

**Math derivatives**

Develop a rule for the following: Dx[f(x)g(x)/h(x)]

*February 9, 2017 by Anonymous*

**Math Derivatives**

Find f''(2) of function f(x)=xsin(pi/x)

*February 22, 2017 by Anon*

**maths letaracy,history,geography and life science**

im going to grade 10 next year,and i want to be a psychologist and im going for maths letaracy and history feild im realy not good with maths and i just found out a few weeks ago that i need pure maths to do psychology.i don't know what to do now ,i also don't know the jobs ...

*October 26, 2013 by khanyisa maringa*

**Econ/Math Derivatives**

Find the derivative of the quotients: y=4X/(X-3)

*September 13, 2007 by Rachel*

**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*

**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*

**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*