If y=x^2 log x then (d^2 y)/(d x^2)=

The correct answer is Option (4) - $\log \left(e^3 x^2\right)$

$y=x^2 \log x$

$\frac{dy}{dx}=2x\log x+x$

$\frac{d^2y}{dx^2}=2\log x+2+1$

$=\log x^2+3\log_e$

$=\log e^3x^2$