Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Applications of Derivatives

Question:
The length x of a rectangle is decreasing at the rate of 4 cm/minute and the width y is decreasing at the rate of 4 cm/minute. When x =2 cm and y = 2 cm, which of the following statements hold true?
Options:
The perimeter of the rectangle decreases at the rate of 16 cm/min.
The perimeter of the rectangle increases at the rate of 10 cm/min
The perimeter of the rectangle changes at the rate of 0 cm/min
none of these
Correct Answer:
The perimeter of the rectangle decreases at the rate of 16 cm/min.
Explanation:
dP/dt = 2(dx/dt +dy/dt)