Search: Maths Calculus Derivatives & Limits

Number of results: 34,778

Maths Calculus Derivatives & Limits
Drag out L'Hospital's Rule 1) 1/3 (8+h)^(-2/3) / 1 = 1/3 * 1/4 = 1/12 2) -2sinx/3 = -√3/3
Tuesday, October 25, 2011 at 9:19am by Steve

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)
Tuesday, October 25, 2011 at 9:19am by Yousef

Maths Calculus Derivatives & Limits
Oops. Using definition of derivative. Check back later. Lots of messy algebra.
Tuesday, October 25, 2011 at 9:19am by Steve

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 ...
Tuesday, November 1, 2011 at 2:37pm by Mishaka

calculus (limits)
I do know how to take derivatives however the course I'm in hasn't taught them yet (long story) so I can't use derivatives in finding the solution; I have to factor. So perhaps a better question is: how do I factor the above expression in a way that will allow me ...
Saturday, January 22, 2011 at 2:09pm by John

Math >> limits
The limit is of the form: Lim x--> 0 f(x)/g(x) where f(0) = g(0) = 0. So we can't take the limits for f and g separately and divide them. Rewrite the limit as: Lim x--> 0 [f(x) - 0]/[g(x) - 0] = Lim x--> 0 [f(x)-f(0)]/[g(x)-g(0)] Lim x-->0{[f(x...
Wednesday, September 5, 2007 at 6:57am by Count Iblis

Maths Calculus Derivatives & Limits
Use the binomial theorem to expand (8+h)1/3 (8+h)1/3 - 2 = 81/3 + 1/3 8-2/3h - 1/3 * 2/3 8-5/3h2 + ... = -2 + 2 + 1/3 * 1/4 h - 2/9 * 1/32 h2 + ... Divide by h and all the terms with h2 or higher go away, leaving only: 1/3 8-2/3 = 1/12
Tuesday, October 25, 2011 at 9:19am by Steve

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!
Sunday, September 9, 2007 at 8:32pm 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 ...
Sunday, September 28, 2008 at 8:15pm by Michael

calculus
The triangle is bounded by x-axis x=1, and y=x. The integrals can be carried out in order dx, then dy or vice-versa. However, integrating with respect to dy first makes for an easier integration (in the evaluation of I). Be very sure you understand how the limits are obtained...
Monday, April 2, 2012 at 3:30am by MathMate

calculus (limits)
Use limits to explain why f(x)= (7-3X)/(X+9) has a vertical asymptote.
Saturday, January 21, 2012 at 11:03pm by k

Calculus
we know these limits exist as h->0: (f(a+h)-f(a))/h (g(a+h)-g(a))/h sum of limits is thus (f(a+h)-f(a) + g(a+h)-g(a))/h = (f(a+h)+g(a+h) - (f(a)+g(a))/h = ((f+g)(a+h) - (f+g)(a))/h the limit is d(f+g)/dx at x=a
Monday, October 15, 2012 at 11:37pm by Steve

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
Wednesday, March 7, 2012 at 11:10am by maggie

College Calculus
Improper integrals implicitely imply taking limits of the upper and/or lower limits of the integration.
Thursday, February 28, 2008 at 7:59pm by Count Iblis

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)
Wednesday, February 17, 2010 at 12:12pm by Ren

Calculus
TWO examples of each of the following: two sided limits and theorem on limits (SUM, difference, product, quotient, nth root, ).
Wednesday, August 29, 2012 at 3:12am by Anne

Calculus - MathMate Please help
nope, you are wrong. I got the correct answer. area1 and area2 are not equal to each other since their limits are DIFFERENT. for area1, the limits should be (from 0 to c/2) and for area2. the limits should be (from pi/2+c to pi). by solving it i got the value for c. Thank you ...
Monday, November 29, 2010 at 6:42pm by K

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
Thursday, December 1, 2011 at 2:58pm 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
Thursday, October 9, 2008 at 12:52am by Sam

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!
Monday, September 5, 2011 at 4:26pm by Michael

Calc
Hmmmm. YOu must be only in limits,not yet to derivatives. If there is a function f(x), the derivative is defined as... lim d>>0 of (f(x+d) -f(x))/d
Thursday, September 10, 2009 at 6:22pm by bobpursley

Calculus
TWO examples of two sided limits and each theorem on limits.
Wednesday, August 29, 2012 at 12:48am by Nicole

math
Have you considered a Calculus Text? Even a review/study guide? Schuam's College Outline Series, College Calculus is very good. It is available at Barnes Noble. http://math2.org/math/derivatives.htm
Thursday, October 9, 2008 at 12:52am by bobpursley

math
You also can in google type: derivatives online When you see listo of results click on: numberempirecom/derivatives.php and solvemymathcom/online_math_calculator/calculus/derivative_calculator/index.php On this sites you will see your derivation in two different simplify forms
Wednesday, February 16, 2011 at 8:05pm by Bosnian

Math >> limits
If you do not understand derivatives, then you will have to find the trig equivalent of the multiangle (identies)equivalents, and reduce the fractions.
Wednesday, September 5, 2007 at 6:57am by bobpursley

derivatives
The derivatives of these trig functions should be right there in your Calculus text. for the second of your questions, I will use y' for the first derivative and y" for the second derivative i.e. y'= dy/dx 1+y=x+xy so y' = 1 + y + xy' y'(1-x) = 1+y y&#...
Wednesday, October 31, 2007 at 10:34pm by Reiny

Maths
Find the derivatives of these: f(x)=√
Tuesday, November 13, 2012 at 11:18pm by alexis

Calculus-Limits
Recall how you did your first exercises on derivatives of polynomials using the limit. Use the binomial theorem: ∜(3+h) = (3+h)^(1/4) = 3^(1/4) + (1/4)(3^-3/4)(h) + (1/4)(-3/4)/2 (3^-7/4)(h^2) + ... Now do your subtractions and collect terms: The 3^(1/4) goes away -2...
Monday, April 29, 2013 at 12:19am by Steve

calculus (limits)
I bet you mean lim h>0 [sqrt(1+h)-1] /h One way: I guess you know how to take derivatives d/dx (x)^.5 = .5 (x^-.5) (of course right there you can say x^-.5 at x = 1 so your result is .5/1 = .5 so d (x^.5) = .5 x^-.5 dx so d (sqrt (x)) dx = .5 dx/sqrt(x) d sqrt(1+h) dx...
Saturday, January 22, 2011 at 2:09pm by Damon

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)
Sunday, March 11, 2012 at 1:00pm by maria

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...
Monday, July 30, 2007 at 6:15pm by COFFEE

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.
Thursday, April 12, 2012 at 12:31am by Julie

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...
Thursday, March 22, 2012 at 4:32pm by Sean

Calculus AB
http://www.jiskha.com/display.cgi?id=1292545967 list of common derivatives http://www.ecalc.com/math-help/worksheet/calculus-derivatives/
Thursday, December 16, 2010 at 7:28pm by TutorCat

Math Exam Review: Limits
Do each term, using your basic trig derivatives so y' = 2cos(2x-1) -3x^2(sin(x^3)) - 3sec2 (3x)
Saturday, June 21, 2008 at 9:55am by Reiny

Calculus
I'm having trouble interpreting your variables and limits. c,d are the limits on dy? That's odd, since I'd expect functions of y to be limits on dx. Anyway, interpreting it as ∫[0,√12]∫[y^(1/3),sqrt(16-y^2)] dx dy I get 15.8, twice ...
Wednesday, March 21, 2012 at 4:07am by Steve

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 ...
Thursday, April 5, 2007 at 6:02pm by Amy

math
-•-+-+-+-0-+-+-+-+-5-+-+-+-+-•-+-+-+ The interval notation uses square brackets [] to enclose the lower and upper limits when the limits are included in the interval. Parentheses () are used if the limits are excluded. In this case, the limits of -4 and 10 ...
Wednesday, November 25, 2009 at 8:56pm by MathMate

Maths Derivatives & Calulus
thank u so much for ur effort and time helped me alot!!!!!
Friday, October 21, 2011 at 5:42am by Yousef

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 ...
Wednesday, March 14, 2007 at 9:07pm by Amy

calculus, limits, l'hopital
You're very welcome. Keep up the good work. Calculus is best learned with lots of practice.
Sunday, February 13, 2011 at 3:08pm by MathMate

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 ...
Thursday, April 25, 2013 at 10:31am by Mohit

Math >> limits
The limit equals the ratio of the derivatives at x=0. That is called L'Hopital's rule. Limit (12 cos 4x) / (3 cos x) @ x=4 = ?
Wednesday, September 5, 2007 at 6:57am by drwls

Maths Derivatives
thank u so much i realised that i had the correct answer but wasnt sure about the signs
Tuesday, October 25, 2011 at 8:38am by Yousef

slope of tangent line
you have the derivative wrong. f'(x)= 2^x * ln2 But you cant use derivatives...Can you use L'Hopitals Rule for limits of the form 0/0 ? If so, then the limit becomes slope= (2^x ln2 -0)/1 and as x>0, this is ln 2.
Sunday, September 23, 2007 at 5:00pm by bobpursley

Calculus-derivatives
Determine h'(x) for h(x)= [x/(1-x)]^2
Monday, February 20, 2012 at 3:23am by Jessi

Calculus
Compute the derivatives of : f(x)= x^7 + 7^x+ 7^7
Monday, November 22, 2010 at 6:54pm by JJ

Calculus
isn't there a way you do it with the derivatives?
Tuesday, November 13, 2007 at 12:31pm by Joe

Calculus - Derivatives
Oh, okay. I got it. Thanks!
Wednesday, October 3, 2007 at 11:39am by Adam

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
Tuesday, March 23, 2010 at 10:18pm by AdrianV

maths
At a 0/0 singularity such as this, you just take the ratio of derivatives: (3x^2)/2x = (3/2)*x = 3 That is called L'Hopital's Rule.
Thursday, January 5, 2012 at 2:14am by drwls

calculus
Find the derivatives of the functions k(x)=(x^3+e^x)^4
Monday, February 11, 2013 at 9:27pm by Joe

CALCULUS DERIVATIVES CONTINUITY
I agree with e
Thursday, May 31, 2012 at 5:11pm by Damon

Calculus-derivatives
Oh crap nvm!
Wednesday, February 15, 2012 at 5:37pm by Jake

// calculus - derivatives
yours is correct
Saturday, October 24, 2009 at 5:56pm by bobpursley

calculus
derivatives. f(x)=(1/-7x^12) f'(2)=? f'(-1)=?
Friday, January 18, 2008 at 6:47pm by mike

Calculus 2
I don't understand why you were instructed to use trig substitution for this question, it is straightforward You should recognize certain pattern of derivatives and integrals Notice that the derivative of the denominator is 2x and we have x at the top, so this follows the ...
Wednesday, October 10, 2012 at 9:08pm by Reiny

calculus
find the derivatives F(x)=8ln(x^5-2x)
Wednesday, April 6, 2011 at 3:02pm by melissa

calculus
derivatives: 2. cos teta/ 1+sin^2
Tuesday, January 4, 2011 at 12:18am by gen

Calculus-Derivatives
what do you mean by something squared?
Monday, April 12, 2010 at 11:29pm by John

maths-urgently needed
Integrate ( x^2cosx)/(1+sinx)^2 dx with limits from 0 to pi/4
Sunday, February 17, 2013 at 4:18am by Anonymous

maths
Integrate ( x^2cosx)/(1+sinx)^2 dx with limits form 0 ti pi/4
Saturday, February 16, 2013 at 12:08pm by Anonymous

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 ...
Saturday, November 18, 2006 at 2:16pm by Jen

Derivatives ~ Calculus
If dy/dx = (1 + x)/(xy), x>0, and y=-4 when x=1, then when x=3, y= what?
Tuesday, June 5, 2012 at 6:27pm by Hannah

Calculus-derivatives
A is your answer because what you have there is the product rule[F'(x)*G(x)+G'(x)*F(x)].
Thursday, March 8, 2012 at 3:26am by Anonymous

Calculus-derivatives
Set the derivative equal to zero.
Wednesday, February 29, 2012 at 12:16am by David

Calculus (Derivatives)
I too was able to come to the derivative of 500/x^2
Tuesday, November 1, 2011 at 2:37pm by Rodney

Calculus(derivatives)
f(x)=7cosx+6tanx, find f'(x)and f'(5pie/4)
Thursday, February 24, 2011 at 7:59pm by Daniel

calculus
find the derivatives 1. y=sin^3(2x)(cos2x)
Tuesday, January 4, 2011 at 12:18am by gen

calculus
find the derivatives 1. y=sin^3(2x)(cos2x)
Tuesday, January 4, 2011 at 12:17am by gen

Calculus (derivatives)
Find the derivative of cos^2(4x)
Tuesday, November 3, 2009 at 5:41pm by Amanda

Calculus
Find a formula for the derivatives of the function m(x)=1/(x+1) IS the answer -1/(x+h)(x+h+1)
Saturday, September 13, 2008 at 3:50pm by George

Maths - Integration
Find the exact value of the intergal with limits 1 and 0 respectively for the x^2 e^2x dx.
Wednesday, December 12, 2012 at 10:48am by Anonymous

Calculus
The limits are 0,3
Friday, April 12, 2013 at 10:39am by Tiffany

calculus-derivatives
:D I'm so happy! Never thought to factor that out x) thank you!
Thursday, March 15, 2012 at 1:39am by mary

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?
Wednesday, February 29, 2012 at 12:16am by Melinda

Calculus
The derivatives are messy. f = 2x/(1+x^2) f' = -2(x^2 - 1)/(1+x^2)^2 f'' = 4x(x^2 - 3)/(1+x^2)^3 f''' = -12(x^4 - 6x^2 + 1)/(1+x^2)^4 ...
Thursday, February 9, 2012 at 10:06pm by Steve

calculus
Find the first and second derivatives of the function. h(x) = sqrt x^2 + 1
Tuesday, October 14, 2008 at 7:20pm by Vishnu

Maths Derivatives
If y = x ^ n + ( 1 / x ^ n ) prove that ( x^2y'' ) + ( xy' ) - ( n^2y ) = 0
Tuesday, October 25, 2011 at 8:38am by Yousef

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.
Thursday, May 31, 2012 at 3:20pm by PLEASE HELP

Calculus-derivatives
For number one we find the derivative of 3-2t+t^2 wouldn't that be t-2?
Wednesday, February 15, 2012 at 5:37pm by Jake

calculus
derivatives: 3. y= cot^3(2/x) 4. y= csc^5 (1-t+3t^2) 5. y=sec(5x)/tan3x
Tuesday, January 4, 2011 at 12:20am by gen

calculus - (derivatives)
Find the derivative of the function f by using the rules of differentiation. F(x) = 3 ã x
Sunday, September 21, 2008 at 6:07pm by B <3

Calculus - Anti-Derivatives
Oh. Thank you, Damon, and Drwls. That really helped me out.
Friday, March 14, 2008 at 5:55pm by Sean

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...
Wednesday, June 13, 2007 at 10:40pm by Raj

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
Saturday, October 22, 2011 at 7:31am by Yousef

Calculus First Derivatives
Use linearization: f(2.5) = f(2)+(2.5-2.0)*f'(2) (approx.) =f(2)+0.5f'(2) I'll let you complete the answer.
Thursday, May 31, 2012 at 3:20pm by MathMate

Calculus-derivatives
Yes for both. Growth and decay problems are awful, just letting you know
Tuesday, March 6, 2012 at 7:09pm by john

Calculus
Use L'Hopital's rule. Take the ratio of the derivatives of numerator and denominator at s = 0 [-(1/2)/ã(3-s) -ã(1/2)/ã(3+s)]/1 @s=0 = = -1/ã(3
Saturday, October 15, 2011 at 6:08pm by drwls

Calculus (derivatives)
find an equation of the tangent line to the curve at the indicated point. y = -(x^1/3); (8, -2)
Thursday, October 13, 2011 at 9:02pm by Nemo

Calculus (derivatives)
What about this do you not understand. Take the derivative, evaluate at the designated points.
Thursday, October 13, 2011 at 8:59pm by bobpursley

calculus-derivatives
y=cos^3(12theta) find derivative using chain rule
Tuesday, September 27, 2011 at 10:42am by hailey

Calculus derivatives
whoops, I forgot the (1/2). Damon also provided the derivation you wanted.
Monday, October 27, 2008 at 5:27am by drwls

Calculus Derivatives
what's the equations of both lines through the point (2,3) that are tangent to the parabola y=x^2+x
Monday, September 22, 2008 at 4:20pm by Lisa

Calculus 3
wow thank you! How did you find the limits for x and y?
Friday, April 5, 2013 at 11:02am by Heather

Math - Calculus
how to solve limits?
Monday, July 9, 2012 at 5:27pm by John

Calculus (Limits)
I want to say that you are correct.
Saturday, October 22, 2011 at 7:29pm by Damon

Calculus
Whatever you did using limits is wrong.
Saturday, October 31, 2009 at 11:45pm by drwls

Calculus
This question is related to limits.
Saturday, February 21, 2009 at 4:39pm by Alex

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