Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Applications of Derivatives

Question:

Match List – I with List – II.

List - I

List - II

 (A) $x^x$ has a stationary point at x equal to

 (I) $e$ 

 (B) For x > 0, minimum value of $x^x$

 (II) $\frac{1}{e}$ 

 (C) The greatest value of $\left(\frac{1}{x}\right)^x$ 

 (III) $e^{\frac{1}{e}}$ 

 (D) The stationary point of $\frac{\log x}{x}$ for x, where x > 0, is 

 (IV) $e^{\frac{-1}{e}}$ 

Choose the correct answer from the options given below:

Options:

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

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

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

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

Correct Answer:

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

Explanation:

The correct answer is Option (2) → (A)-(II), (B)-(IV), (C)-(III), (D)-(I)