Mathematics

Problem

The area

A

(in cm

^2

) of a square whose side length increases from

5

cm to

(5+h)

cm is given by

A(h)=\dfrac{(5+h)^2-25}{h},\; h\neq 0.

Calculate the instantaneous rate of change of the area with respect to the side length at the instant when the side length is exactly

5

cm. Interpret your answer in appropriate units.