Question

What is the derivative of `y=xlnx`?

Answer 1

`lnx+1` evaluated via Product Rule

Explanation:

The answer is: `y'=1*lnx+x*1/x=lnx+1`.

This is because the theorem of derivative of product (Product Rule) says:

`y=f(x)*g(x)rArry'(x)=f'(x)*g(x)+f(x)*g'(x)` where

`f(x)=x`

`f'(x)=1`

`g(x)=lnx`

`g'(x)=1/x`