Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Applications of Derivatives

Question:

The maximum value of $y=x^3-3 x$ is:

Options:

2 at x = 1

2 at x = -1

0 at x = 0

0 at x = 3

Correct Answer:

2 at x = -1

Explanation:

The correct answer is Option (2) → 2 at x = -1

$y=x^3-3 x$

$y'=3x^2-3=0⇒x=±1$

$y''=6x$

$y''(-1)=-6<0$ (point of maxima)

$y_{max}=(-1)^3-3(-1)=2$