For $y=x^3\, log_ex, x> 0$ A. $\left.\frac{dy}{dx}\right]_{x=e}=4e$ B. $\frac{d^2y}{dx^2}=x^2(5+log_ex^3)$ C. $\frac{dy}{dx}=x^2(1+log_ex^3)$ D. $\left.\frac{d^2y}{dx^2}\right]_{x=e}=11e$ E. $\left.\frac{d^2y}{dx^2}\right]_{x=1}=5$ Choose the correct answer from the options given below :

A, B, C, E A, B, E, D C, D, E B, D, E

C, D, E