Match List I with List II
| LIST I | LIST II | ||
| A. | $\frac{d}{dx}(a^x)$ | I. | 0 |
| B. | $\frac{d}{dx}(x^a)$ | II. | $x^x(1+log_ex)$ |
| C. | $\frac{d}{dx}(a^a)$ | III. | $ax^{a-1}$ |
| D. | $\frac{d}{dx}(x^x)$ | IV. | $a^xlog_ea$ |
Choose the correct answer from the options given below :
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → A-IV, B-III, C-I, D-II
(A) $\frac{d}{dx}(a^x)=a^x\log a$ (IV)
(B) $\frac{d}{dx}(x^a)=ax^{a-1}$ (III)
(C) $\frac{d}{dx}(a^a)=0$ (I)
(D) $\frac{d}{dx}(x^x)=x^x(1+\log x)$ (II)