Monday

April 21, 2014

April 21, 2014

Number of results: 40,058

**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 (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 to find the ...
*Saturday, January 22, 2011 at 2:09pm by John*

**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*

**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)-f(0)]/x}/{[g(x)-g(0...
*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**

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 (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**

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 11:06am by maggie*

**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*

**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.
*Monday, October 21, 2013 at 7:54pm by Cal*

**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**

let u=(7-4x) then du=4dx so the integration is now.. INT u^2 du/4 limits from 7 to 3 looks like u^3/12 limits 7 to 3 check that
*Thursday, October 10, 2013 at 10:10am by bobpursley*

**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*

**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**

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 >> 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' = (1+y)/(1-x) y" = [(1-x)...
*Wednesday, October 31, 2007 at 10:34pm by Reiny*

**Calculus**

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

**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(3...
*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 = .5 ...
*Saturday, January 22, 2011 at 2:09pm by Damon*

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

**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 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*

**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 your answer I tried to get ...
*Wednesday, March 21, 2012 at 4:07am by Steve*

**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.
*Tuesday, June 18, 2013 at 2:41pm by Robin*

**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*

**maths, limits **

lim of x to 0 = x^2+1
*Saturday, August 24, 2013 at 2:33pm by dlvan*

**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*

**Calculus**

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

**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*

**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 are ...
*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, 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*

**Math - Limits/Derivatives**

you have to remember that inelastic means that E(x) > 0 (I think) E(x) = -[(12960-.1x^2)/(-.2x^2)] = 64800/x^2 - .5 E(x) > 0 means x < 360 That sound familiar? Or am I way off base here?
*Saturday, October 19, 2013 at 1:09pm by Steve*

**Calculus - Derivatives**

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

**Calculus**

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

**Calculus**

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

**Calculus-derivatives**

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

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

**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*

**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*

**calculus**

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

**// calculus - derivatives**

yours is correct
*Saturday, October 24, 2009 at 5:56pm by bobpursley*

**Calculus-derivatives**

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

**CALCULUS DERIVATIVES CONTINUITY**

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

**calculus**

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

**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-Derivatives**

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

**calculus**

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

**calculus**

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

**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 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*

**Calculus (derivatives)**

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

**calculus**

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

**calculus**

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

**Calculus(derivatives)**

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

**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**

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

**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*

**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**

take derivatives, so the limit is 2/√(4u+1) / 1 = 2/3
*Monday, September 16, 2013 at 1:32pm by Steve*

**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*

**maths**

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

**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*

**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*

**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-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-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**

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

**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 - Anti-Derivatives**

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

**calculus - (derivatives)**

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

**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**

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 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**

Find all first partial derivatives: f(x,y)=e^(xy)cosx
*Friday, May 31, 2013 at 6:49pm by Elyse*

**pre calculus**

extreme values are where there is a maximum or minimum. At those points the curve changes direction, so it is neither increasing nor decreasing. Its slope is zero at those points. So, how are you supposed to identify them? Graphically? Analytically? Since this is pre-cal, I ...
*Sunday, June 16, 2013 at 1:32pm by Steve*

**Calculus, Limits**

Thank you! That was a huge help!
*Monday, January 20, 2014 at 7:04pm by DeeDee*

**Calculus**

In most introductory Calculus courses, the study of limits precedes the concept of the derivative, since limits are used to develop the derivative by First Principles, so ... using your idea of conjugates, ..... Lim ( √(4u+1) - 3)/(u-2) , u--->2 = Lim ( √(4u+1...
*Monday, September 16, 2013 at 1:32pm by Reiny*

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

**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 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**

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

**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)**

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*

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