Solve with changing area using related rates

The video tutorial explains how to calculate the rate at which the area of a square increases as its side length changes over time. It begins by introducing the problem and setting up the equation for the area of a square. The tutorial then differentiates the equation with respect to time to find the rate of change of the area. Given values for the side length and its rate of change are applied to calculate the rate at which the area increases, concluding with the result that the area increases at 12 square feet per minute.

What does DADT represent in the context of this problem?

Calculate the rate at which the area is increasing when the side length is 3 feet.