November 28, 2015

Search: calculus - derivatives

Number of results: 14,920

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

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

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

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

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

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

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

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

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

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

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

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

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

find the derivatives 1. y=sin^3(2x)(cos2x)
January 4, 2011 by gen

find the derivatives 1. y=sin^3(2x)(cos2x)
January 4, 2011 by gen

derivatives: 2. cos teta/ 1+sin^2
January 4, 2011 by gen

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

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

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

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

Z=square root of(x^2+y^2) + xy Find the partial derivatives: x, xx, y, yy, xy. Thanks.
September 24, 2014 by jean

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

find the first and second derivatives for 3x^4-4xy^2+7=2y
October 14, 2015 by jack

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Find the four second partial derivatives and evaluate each at the given point. Function f(x, y) = x^3 + 2xy^3 − 9y Point (9, 2) fxx(9, 2) = fxy(9, 2) = fyx(9, 2) = fyy(9, 2) =
November 17, 2015 by Calculus Help

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

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

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

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

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 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

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

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

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

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