Question

What is the derivative of `f(x)=ln(xsinx)`?

Answer 1

`f'(x) = 1/x + cot x`

Explanation:

`f = ln (uv)`

`f' = 1/(uv) * (u'v + uv')`

`u = x Rightarrow u' = 1`

`v = sin x Rightarrow v' = cos x`

`f' = (sin x + x cos x) / (x sin x)`