Question

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

Answer 1

`f'(x)=cotx`

Explanation:

`"differentiate using the "color(blue)"chain rule"`

`"Given "f(x)=g(h(x))" then"`

`f'(x)=g'(h(x))xxh'(x)larrcolor(blue)"chain rule"`

`rArrf'(x)=1/sinx xxd/dx(sinx)=cosx/sinx=cotx`