Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Applications of Derivatives

Question:

For the curve \(y=6x-5x^3\) if \(x\) increases at the rate of 2 unit/sec then how fast slope of curve changing when \(x=3\)

Options:

-120 unit/sec

-180 unit/sec

-100 unit/sec

-200 unit/sec

Correct Answer:

-180 unit/sec

Explanation:

\(\frac{d}{dt}(\frac{dy}{dx})=-30x\frac{dx}{dt}\)