Match List-I with List-II.

Choose the correct answer from the options given below :

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

The correct answer is Option (4) → (A)-(I), (B)-(II), (C)-(IV), (D)-(III)

(A) $f(x)=e^{2x}$

$⇒f'(x)=2e^{2x}$

(B) $g(x)=e^{\log x^2}$

$⇒f'(x)=e^{\log x^2}.\frac{1}{x^2}×2x$

$=x^2×\frac{1}{x^2}×2x=2x$

(C) $h(x)=x^3$

$⇒h'(x)=3x^2$

(D) $m(x)=\log x^2$

$⇒m'(x)=\frac{1}{x^2}×2x=\frac{2}{x}$