Match List-I with List-II. List-I List-II (A) If $y=log_e\left(\frac{x^2}{e^3}\right),$ then $\frac{d^2y}{dx^2}$ is, (I) $x^2(7+12log_ex)$ (B) If $y=x^4log_ex,$ then $\frac{d^2y}{dx^2}$ is, (II) $\frac{2log_ex-3}{x^3}$ (C) If $y=x^3e^x,$ then $\frac{d^2y}{dx^2}$ is, (III) $\frac{-2}{x^2}$ (D) If $y=\frac{log_ex}{x},$ then $\frac{d^2y}{dx^2}$ is, (IV) $xe^x(x^2+6x+6)$ Choose the correct answer from the options given below :

(A)-(II),(B)-(IV),(C)-(I),(D)-(III) (A)-(III),(B)-(I),(C)-(IV),(D)-(II) (A)-(II),(B)-(I),(C)-(IV),(D)-(III) (A)-(IV),(B)-(I),(C)-(III),(D)-(II)

(A)-(III),(B)-(I),(C)-(IV),(D)-(II)