Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

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 perimeter of the rectangle.
Options:
10 cm/m
20 cm/m
-20 cm/m
-10 cm/m
Correct Answer:
-10 cm/m
Explanation:
dP/dt = 2( dx/dt + dy/dt)