The side lengths of a square increase at a rate of 4cm/s. Find the rate at which the area of the square is increasing when the side length is 2cm. g

4 cm^2/cm

Step-by-step explanation:

The area of a square is given by the equation:

To find the rate at which the area increases, we just need to find the derivative of the area in relation to the side:

So, when the side length is 2 cm, the rate at which the area increases is:

When the side length is 2 cm, the area increases at 4 cm^2/cm.

right

step-by-step explanation: