Question

What is the derivative of `f(x)=sin(lnx)`?

Answer 1

`f'(x)=cos(ln(x)) * 1/x`

Explanation:

Use the facts that `d/dx(sin(x))=cos(x)`, `d/dx(ln(x))=1/x`, and the Chain Rule: `d/dx(f(g(x)))=f'(g(x)) * g'(x)` with `f(x)=sin(x)` and `g(x)=ln(x)`.