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!

Homework Help: What is the derivative of (sin x)^sin x?

  1. Dec 20, 2015 #1
    1. The problem statement, all variables and given/known data
    f(x)= (sin x)^(sin x)

    2. Relevant equations

    3. The attempt at a solution
    Taking logarithm on both sides I get:
    ln y = ln ((sin x)^(sin x))
  2. jcsd
  3. Dec 20, 2015 #2
    Yes...you are on the right track, why stop there? Simplify the expression and differentiate both sides.
  4. Dec 20, 2015 #3


    Staff: Mentor

    That's a good start. Can you rewrite the right side by using a property of the natural log function?
    After that, you can differentiate both sides of the resulting equation.
  5. Dec 20, 2015 #4
    Thank you!
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted