Question

The area of a square with side s is A(s) = s
2
.
What is the rate of change of the area of a square with respect
to its side length when s = 3

Answer 1

$A(s)=s^2$

The rate change of area with respect to side is given by

$\frac{d}{ds}(A(s))=2s$

And $s=3$

$\frac{d}{ds}(A(s))=2s=2 \times 3=6m^2/m$