The area of a square decreases at $12\text{ cm}^2/\text{s}$. Find the rate of change of its side l

Question

The area of a square decreases at $12\text{ cm}^2/\text{s}$. Find the rate of change of its side length when the side is $3\text{ cm}$.

Accepted Answer

$\frac{\mathrm{d}s}{\mathrm{d}t}=-2\text{ cm/s}$.

Differentiation