Results 1 to 2 of 2

Thread: differentiate tan^3[2x]

  1. September 15th 2010, 04:03 AM #1
    Punch
    Punch is offline
    Super Member
    Joined
    Dec 2009
    Posts
    755

    differentiate tan^3[2x]

    Differentiate tan^32x with respect to x
    Follow Math Help Forum on Facebook and Google+
  2. September 15th 2010, 04:07 AM #2
    Prove It
    Prove It is offline
    MHF Contributor Prove It's Avatar
    Joined
    Aug 2008
    Posts
    10,264
    Thanks
    697
    y = \tan^3{2x}.


    Let u = \tan{2x} so that y = u^3.


    \frac{du}{dx} = 2\sec^2{2x}.


    \frac{dy}{du} = 3u^2 = 3\tan^2{2x}.


    Therefore \frac{dy}{dx} = 6\sec^2{2x}\tan^2{2x}.


    You could use the Pythagorean Identity to clean this up further if you wanted...
    Follow Math Help Forum on Facebook and Google+
« Is the function f(x) differentiable? | Find height of liquid inside spherical container as it is being filled »

Similar Math Help Forum Discussions

  1. Differentiate 1 / (t+3e^t)
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: July 11th 2010, 10:40 PM
  2. differentiate
    Posted in the Calculus Forum
    Replies: 2
    Last Post: March 9th 2009, 01:02 PM
  3. differentiate
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: March 9th 2009, 11:22 AM
  4. How do you differentiate e^xy?
    Posted in the Calculus Forum
    Replies: 3
    Last Post: February 28th 2009, 08:57 AM
  5. differentiate y=a(1-exp^-bx)
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 10th 2008, 03:09 AM

Search Tags


/mathhelpforum @mathhelpforum