Results 1 to 2 of 2

Math Help - derivative of the inverse

  1. #1
    Newbie
    Joined
    Jan 2010
    Posts
    4

    derivative of the inverse

    Would I be able to take the inverse of 2 first and then enter into f '(x) or do I have to replace f(x) with y(y=sqrt...) and then x with y(x=sqrt..) and solve for y? I'm sorry if its confusing.
    Here is the problem:
    Let f(x)=sqrt(x^3+x+2), find(f^-1)'(2).
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Calculus26's Avatar
    Joined
    Mar 2009
    From
    Florida
    Posts
    1,271
    Use the Theorem on the derivative of an inverse:

    If f(a) = c

    Then [f^(-1)] ' (c) = 1 / f '(a)


    f(x)=sqrt(x^3+x+2)

    f(1) = 2

    [f^(-1)] ' (2) = 1 / f '(1)
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. derivative of inverse
    Posted in the Calculus Forum
    Replies: 9
    Last Post: March 20th 2010, 02:44 PM
  2. Inverse Derivative
    Posted in the Calculus Forum
    Replies: 3
    Last Post: November 21st 2009, 02:38 PM
  3. Inverse and derivative
    Posted in the Math Challenge Problems Forum
    Replies: 3
    Last Post: August 10th 2009, 07:58 PM
  4. Inverse Derivative Help
    Posted in the Calculus Forum
    Replies: 6
    Last Post: January 25th 2009, 03:37 PM
  5. plz help inverse derivative
    Posted in the Calculus Forum
    Replies: 1
    Last Post: December 8th 2006, 02:18 AM

Search Tags


/mathhelpforum @mathhelpforum