Match List-I with List-II List-

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Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Calculus

Question:

Match List-I with List-II

List-I (Function)	List-II (Derivative with respect to 'x')
(A) $f(x) = x^x$	(I) $ax^{a-1}$
(B) $f(x) = a^x$	(II) 0
(C) $f(x) = a^x$	(III) $a^x\log_ea$
(D) $f(x) = x^a$	(IV) $x^x(1+ \log_ex)$

Choose the correct answer from the options given below:

Options:

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

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

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

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

Correct Answer:

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

Explanation:

The correct answer is Option (3) → (A)-(IV), (B)-(III), (C)-(II), (D)-(I)

List-I (Function)	List-II (Derivative with respect to 'x')
(A) $f(x) = x^x$	(IV) $x^x(1+ \log_ex)$
(B) $f(x) = a^x$	(III) $a^x\log_ea$
(C) $f(x) = a^x$	(II) 0
(D) $f(x) = x^a$	(I) $ax^{a-1}$