Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Applications of Derivatives

Question:
The length x of a rectangle is decreasing at the rate of 2 cm/minute and the width y is decreasing at the rate of 3 cm/minute. When x =10cm and y = 10 cm, find the rates of change of the area of the rectangle.
Options:
-50 cm2/min
50 cm2/min
-60 cm2/min
60 cm2/min
Correct Answer:
-50 cm2/min
Explanation:
dA/dt = -3x-2y