If $\displaystyle y = x^x$ find the value of $\displaystyle \frac{d^2 y}{dx^2} - \frac{1}{y} \left( \frac{dy}{dx}\right)^2 - \frac{y}{x}$

Solution

After doing the sum i am getting the answer as 0 is that correct

what i did was took log and differentiated it then i got was the answer as 0