Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Applications of Derivatives

Question:

Find the rate of change of the area of a circle per second with respect to its diameter D when D = 2 cm.

Options:

\[\pi D\]

\[\frac{\pi }{2}D\]

\[2\pi D\]

\[\frac{\pi }{4}D\]

Correct Answer:

\[\frac{\pi }{2}D\]

Explanation:

\[A =\frac{ { D }^{ 2 } }{4}\pi \]