Question

The area of a square with side s is A(s)=s2. What is the rate of change of the area of a square with respect to its side length when s=8?

Answer 1

Solution

In order to calculate the rate of change of the area of a square with respect to its side length, it is needed to calculate derivative A(s) :

$A'(s) = 2*s$

Substitute side s=8 we have:

$2*8=16$

It is the rate of change of the area of a square with respect to its side length when side is equal to 8.

Answer

The rate of change of the area of a square with respect to its side length when side s=8 is 16.