Mathematics · JEE | APPLICATION OF DERIVATIVES

Match List-I with List-II: List-I List-II A \( f(x) = \cos x \) in \( (0, \pi) \) I Strictly increasing B \( f(x) = x^3 - 3x^2 + 4x \) on \( \mathbb{R} \) II Strictly decreasing C \( f(x) = x^2 - 4x + 6 \) in \( (-\infty, 2) \) III Neither increasing nor decreasing D \( f(x) = \cos x \) in \( (0, 2\pi) \) IV Strictly decreasing in \( (-\infty, 2) \) Choose the correct answer from the options given below:

1. A
   A-(I), B-(II), C-(III), D-(IV)
2. B
   A-(II), B-(I), C-(IV), D-(III)
3. C
   A-(IV), B-(III), C-(II), D-(I)
4. D
   A-(III), B-(IV), C-(I), D-(II)