Question

How do you differentiate `f(x)= 5ln(sinx/x)`?

Answer 1

The derivative is `f'(x) = (xcosx - sinx)/(xsinx)`

Explanation:

The derivative of `sinx/x` is taken using quotient rule and multiplied with the derivative of `lnu` where `u= sinx/x` which is `1/u`.

Hope that helps,
Cheers.