September 1, 2014

Search: Maths Calculus Derivatives & Limits

Number of results: 19,127

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

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

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 (limits)
Use limits to explain why f(x)= (7-3X)/(X+9) has a vertical asymptote.
January 21, 2012 by k

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

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

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

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

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

Maths Derivatives
If y = x ^ n + ( 1 / x ^ n ) prove that ( x^2y'' ) + ( xy' ) - ( n^2y ) = 0
October 25, 2011 by Yousef

Find the derivatives of these: f(x)=√
November 13, 2012 by alexis

TWO examples of two sided limits and each theorem on limits.
August 29, 2012 by Nicole

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 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

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

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

show that the curves r=asin(Ť) and r=acos(Ť) 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

find the maximum valu of any of the function without using derivatives 16x+8x+7
June 26, 2014 by sandeep

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

maths, limits
lim of x to 0 = x^2+1
August 24, 2013 by dlvan

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

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

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

Integrate ( x^2cosx)/(1+sinx)^2 dx with limits form 0 ti pi/4
February 16, 2013 by Anonymous

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

maths-urgently needed
Integrate ( x^2cosx)/(1+sinx)^2 dx with limits from 0 to pi/4
February 17, 2013 by Anonymous

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

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 - 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

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 - 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 Ā„ 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

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

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

Evaluate the triple integral _E (xy)dV where E is a solid tetrahedron with vertices (0,0,0), (4,0,0), (0,1,0), (0,0,4) I just can't seem to find the limits, of x,y and z
April 26, 2010 by Salman

Calculus (Derivatives)
Using the product rule, find the derivative of the following function: (x^1/2 cscx sinx).
November 7, 2011 by Mishaka

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

Following 2 questions are from a book at a point where LíHopitalís 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 Int...
March 12, 2014 by MS

Following 2 questions are from a book at a point where LíHopitalís 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 Int...
March 13, 2014 by MS

A curve is defined by the parametric equations: x = t2 Ė t and y = t3 Ė 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

if i have k = 36.86 +/- 4.78 and v = 113 +/- 9.92 both using 95% confidence limits and no true values of k or v given am i right in saying that accuracy cannot be determined and that v is a more precise measurement my question was to comment on what can be said about the ...
January 19, 2010 by lucy

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

Using the first of these limits, find f'(3) if f(x)=4x^2+4x-2
September 3, 2009 by Z32

Evaluate the following limits (x^2 + 2x - 8)/x-2 Lim x->2
April 29, 2013 by Drew

Show, using limits, that f(x) = x2 Ė x + 3, is continuous at x = 2.
March 12, 2014 by Anonymous

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 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

Calculus - Limits
lim x--> 3 (3 - x)/ (x^2 - 9) I know the answer is -1/6, but I can't figure out how to get there.
September 19, 2007 by Jimmy

Evaluate the Integral ∫1, 0 x^3(1+x^4)^6dx where 1=b 0=a for the limits
April 30, 2011 by noell

Find the indicated limits. Lim x-> 1- sqrt 1 - 1/ x-1
June 6, 2011 by Robo

Use binomial theorem to to expand squareroot of 4+x in ascending powers of x to four terms.Give the limits for which the expansion is valid
March 13, 2012 by ceasar

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

Maths Derivatives & Calulus
1) Find d^2y / dx^2 given that y^3 - x^2 = 4 2)If y = x™ + ( 1 / x™ ) , prove that x^2 . y'' + xy' Ė 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 + 3...
October 21, 2011 by Yousef

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 - limits
limit as x approaches infinity; tan^(-1) (x^2 - x^4) any help is appreciated =D
October 18, 2009 by Reen

calculus - limits
Does the limit lim 2011t/3-(squareroot)t+9 exist ? t-0
October 4, 2011 by Whitney

Calculus (Limits)
f(x) is a function differentiable at x=1 and f′(1)=1/13. What is the limit of (x^3 - 1)/f(x) - f(1) as x approaches 1?
July 21, 2013 by Drake

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 - limits
can someone help me determine that limit for the following function, as x --> -2? 2 - abs(x) / 2 + x
October 4, 2009 by thomas

find the derevative (hint try to use limits) (x^2010 - 1 )\(x -1 )
February 21, 2010 by Anonymous

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

Math - Limits/Derivatives
If a price-demand equation is solved for p, then price is expressed as p = g(x) and x becomes the independent variable. In this case, it can be shown that the elasticity of demand is given by E(x) = - [g(x) / xg'(x)]. Use the given price-demand equation to find the values of x...
October 19, 2013 by Jess

Calculus derivatives
f(a) = a + √a (a) Find the derivative of the function using the definition of derivative.
October 27, 2008 by Ben

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