Problem 2. The sound intensity /decreases with the distance R from the source according to the following law: I=(A)/(R^2) where A is a constant. Find the rate of change of the intensity.

To find the rate of change of the intensity with respect to the distance , we need to differentiate the given equation with respect to .Given: We want to find .Using the power rule for differentiation, we have: The derivative of with respect to is: Therefore: So, the rate of change of the intensity with respect to the distance is: