Question

Find the derivative of f(x)=xlogx?

Answer 1

`f'(x) = log(x)+1`

Explanation:

Use the product rule:

`f'(x) = dx/dxlog(x)+x(d(log(x)))/dx`

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

`f'(x) = log(x)+1`