1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Chain Rule of a functional to an exponential

  1. Apr 9, 2014 #1
    1. The problem statement, all variables and given/known data
    Suppose f is differentiable on [itex] \mathbb R[/itex] and [itex]\alpha[/itex] is a real number. Let [itex] G(x) = [f(x)]^a[/itex]

    Find the expression for [itex] G'(x)[/itex]

    2. Relevant equations

    I'm pretty sure that I got this one right, but I really want to double check and make sure.

    3. The attempt at a solution

    [itex] G'(x) = a[f(x)]^{a-1} \cdot f'(x)[/itex]
  2. jcsd
  3. Apr 9, 2014 #2
    Functional to an exponential.. haha. Not exactly what I meant, but okay.
  4. Apr 9, 2014 #3


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    That's correct. If you are being precise α ≠ 0.
  5. Apr 9, 2014 #4
    Much appreciated!
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted

Similar Discussions: Chain Rule of a functional to an exponential