Question

Write the derivative as rate measure using example

Answer 1

The derivative as rate measure helps in measuring rate of change. Therefore the derivative as rate measures are

For example:-

Let A be an area of a circle of radius r

Area A=π⋅r2

then

dAdr=2.π⋅r

Suppose we have to find the rate of change of area concerning the radius at r=5 cm.

we have to find the radius from the given formula

Then

r=5=10π cm2/cm

This is the derivative which helps in the measuring rate of change.

Thereby 10pie is the answer.