Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Applications of Derivatives

Question:
Suppose the length x of a rectangle increase and width y decrease with the same speed simultaneously. Then with what speed with respect to time does the perimeter of the rectangle change?
Options:
The rate of change of perimeter is 0 cm/s when x=10cm and y = 10 cm.
The rate of change of perimeter is 0 cm/s when x=100 cm and y = 100 cm.
The rate of change of perimeter is 0 cm/s for any value of x and y.
None of the above
Correct Answer:
The rate of change of perimeter is 0 cm/s for any value of x and y.
Explanation:
dP/dt = 2(dx/dt +dy/dt) but dx/dt = - dy/dt