Match List – I with List – II.

Choose the correct answer from the options given below:

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

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

$\text{(A)}\; \frac{d}{dx}(\log_e x)=\frac{1}{x} \Rightarrow \text{(III)}$

$\text{(B)}\; \frac{d}{dx}(x^a)=ax^{a-1} \Rightarrow \text{(IV)}$

$\text{(C)}\; \frac{d}{dx}(a^x)=a^x \log_e a \Rightarrow \text{(I)}$

$\text{(D)}\; \frac{d}{dx}(a^a)=0 \Rightarrow \text{(II)}$

A–III,\; B–IV,\; C–I,\; D–II