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Finding derivative of arcsin(√x)?

  1. Apr 29, 2012 #1
    1. The problem statement, all variables and given/known data

    Finding the derivative of f(x):

    f(x)=arcsin(√x)

    2. Relevant equations

    f(x)=arcsin
    f'(x)=1/(√1-x2)

    3. The attempt at a solution

    1/√(1-x2)*1/2x-1/2

    Or would I be doing the product rule?
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Apr 29, 2012 #2

    tiny-tim

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    welcome to pf!

    hi christinee112! welcome to pf! :smile:
    no, your chain rule method is correct,

    but you've confused yourself by using "x" to mean two different things! :wink:
     
  4. Apr 29, 2012 #3
    Re: welcome to pf!

    Thank you!
    However, I'm not sure what you mean by when you say that I am using "x" to mean two different things?

    Would I not take the derivative of √x after finding the derivative of arcsin?
     
  5. Apr 29, 2012 #4

    tiny-tim

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    f'(√x) = (√x)'/√(1 - (x)2) :wink:
     
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