when f is a continious and differentiable function

[kjbohn]

Let f(x) be a continuous and differentiable function such that f(sin(x))=cos(f(x)) suppose that f(pi/2)=0, and f(1)=1. Compute the derivitive f(1).
Should i use the mean value theorem?

 

[tkhunny]

Did you find the implicit derivative?

f`(sin(x)) * cos(x) = -sin(f(x)) * f`(x)

Now what?

 

[kjbohn]

hmm take use the chain rule?

 

[tkhunny]

That's what I did. What will you now do?