Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Continuity and Differentiability

Question:

What is the number of days it will take for the plant to grow to the maximum height?

Options:

4

6

7

10

Correct Answer:

4

Explanation:

$y=4x-\frac{x^2}{2}$

$\frac{dy}{dx}=4-x=0⇒x=4$

$\frac{d^2y}{dx^2}=-1<0$ (Point of maxima)

at $x=4$ days plant grows to max. height