Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Applications of Derivatives

Question:

At what value of x is the function y = \( { x }^{ 3 } -36x\) attains its extreme values?

Options:

\[2\sqrt { 3 }\]

\[-2\sqrt { 3 }\]

Both \(2\sqrt { 3 }\) and \(-2\sqrt { 3 }\)

Neither \(2\sqrt { 3 }\) nor \(-2\sqrt { 3 }\)

Correct Answer:

Both \(2\sqrt { 3 }\) and \(-2\sqrt { 3 }\)

Explanation:

\(\frac{dy}{dx}= { x }^{ 2 } -12 \)

Put \(\frac{dy}{dx}= 0\)