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Finding derivative of arcsin(√x)?

  • #1

Homework Statement



Finding the derivative of f(x):

f(x)=arcsin(√x)

Homework Equations



f(x)=arcsin
f'(x)=1/(√1-x2)

The Attempt at a Solution



1/√(1-x2)*1/2x-1/2

Or would I be doing the product rule?

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
tiny-tim
Science Advisor
Homework Helper
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welcome to pf!

hi christinee112! welcome to pf! :smile:
[1/√(1-x2)*1/2x-1/2

Or would I be doing the product rule?
no, your chain rule method is correct,

but you've confused yourself by using "x" to mean two different things! :wink:
 
  • #3


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:
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?
 
  • #4
tiny-tim
Science Advisor
Homework Helper
25,832
249
f'(√x) = (√x)'/√(1 - (x)2) :wink:
 

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