Match List-I with List-II. List-I List-II (A) If $f(x)=log(log\, x)$ then $f'(x)=$ (I) $\frac{1}{x\, log 2}$ (B) If $g(x)=e^{x^2},$ then $g'(x)=$ (II) $\frac{1}{x\, log x}$ (C) ,If $h(x)=\frac{2}{\sqrt{x}}, $ then$ h'(x)=$ (III) $e^{x^2}.x$ (D) If $h(x)=log_2x,$ then $m'(x)=$ (IV) $-x^{-\frac{3}{2}}$ Choose the correct answer from the options given below :

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

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