JEE Mathematics Online Test Applications of Derivatives Set D

Page 1 of 15

Question 1

Question

Statement 1 : If f (x) = (x – 3)3, then f (x) has neither maximum nor minimum at x = 3
Statement 2 : f ' (x) = 0, f '' (x) = 0 at x = 3.

Answer
Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.
Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.
Statement -1 is True, Statement-2 is False.
Statement -1 is False, Statement-2 is True.