Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Application of Integrals

Question:

The function $y=(x-9)^2 $ is strictly increasing in the interval (s) :

Options:

(-∞, 3)

(9, ∞)

(-∞, 3) ∪ (9, ∞)

(3, 9)

Correct Answer:

(9, ∞)

Explanation:

The correct answer is option (2) → (9, ∞)

$y=(x-9)^2$

$\frac{dy}{dx}=2(x-9)=0⇒x=9$

Using wavy curve method

Y is strictly increasing in (9, ∞)