question_answer

Let x be a twice differentiable function  such that, for all  If then  is :

A) increasing on (0, 2)

B) increasing on (0, 1) and decreasing on (1. 2)

C) decreasing on (0, 2)

D) decreasing on (0, 1) and increasing on (1. 2)

Correct Answer: D

Solution :

Given that f"(x) > 0  i.e. f'(x) is increasing function