Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Applications of Derivatives

Question:

The function $f(x)=3x^2$ is :

Options:

increasing in(-∞, -1) ∪ (1, ∞)

decreasing in (-∞, -1) ∪ (1, ∞) and increasing in (-1, 1)

increasing in (0, ∞) and decreasing in (-∞, 0)

decreasing in (0,-1)

Correct Answer:

increasing in (0, ∞) and decreasing in (-∞, 0)

Explanation:

The correct answer is option (3) → increasing in (0, ∞) and decreasing in (-∞, 0)

$f(x)=3x^2$

so $f'(x)=6x=0⇒x=0$

$f(x)$ = increasing in(-∞, -1) ∪ (1, ∞)