Results 1 to 4 of 4

Math Help - Derivative of an Inverse function

  1. #1
    Junior Member
    Joined
    Jan 2010
    Posts
    72

    Derivative of an Inverse function

    <br />
y =\tan^{-1}\left(\sqrt{4 x^2-1}\right)<br />
Find the Derivative.

    I just realized an hour ago my assignments due, and I'm not quite sure to how to do the question so if anyone can explain what to do, that'd be awsome. I have the proofs, I just dont know how to use them.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member General's Avatar
    Joined
    Jan 2010
    From
    Kuwait
    Posts
    562
    Quote Originally Posted by Lolcats View Post
    <br />
y =\tan^{-1}\left(\sqrt{4 x^2-1}\right)<br />
Find the Derivative.

    I just realized an hour ago my assignments due, and I'm not quite sure to how to do the question so if anyone can explain what to do, that'd be awsome. I have the proofs, I just dont know how to use them.
    Apply the following:
    If y=tan^{-1}( f(x) )
    then y'=\frac{1}{1+(f(x))^2} f'(x)
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Jan 2010
    Posts
    72
    k so would the answer be
    1/(1+((4x^(2)-1)^1/2)2) x (1/2) (4x^(2)-1)^(-1/2) (8x)?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Member
    Joined
    Nov 2009
    Posts
    202
    do the following:
    1)make a substitution:2x=sec(theta).
    2)find dx/d(theta).
    3)find dy/d(theta).
    4)divide to get dy/dx.
    5)get the answer in terms of theta.
    6)make the back substitution.
    7)answer in terms of theta:2cos(theta)cot(theta)???
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Derivative of inverse function
    Posted in the Calculus Forum
    Replies: 5
    Last Post: November 7th 2009, 09:33 PM
  2. Derivative of inverse function
    Posted in the Calculus Forum
    Replies: 1
    Last Post: September 25th 2008, 12:32 PM
  3. inverse function derivative
    Posted in the Calculus Forum
    Replies: 1
    Last Post: September 3rd 2007, 07:32 PM
  4. inverse function derivative
    Posted in the Calculus Forum
    Replies: 2
    Last Post: February 5th 2007, 02:16 AM
  5. inverse function derivative
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 4th 2007, 10:21 AM

Search Tags


/mathhelpforum @mathhelpforum