Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Applications of Derivatives

Question:

A function $f:[0,2] → R$ is strictly increasing in $[0,1]$ and strictly decreasing in $[1,2]$. Then which statement is TRUE?

Options:

$f'(1)$ exists and is not equal to 0

$f'(x)=0$ for all $x \in[0,2]$

$f'(1)$ may not exist

$f'(1)$ does not exist

Correct Answer:

$f'(1)$ may not exist

Explanation:

The correct answer is Option (3) - $f'(1)$ may not exist