The instantaneous rate of change represents how quantity varies with another if it changes from an Initial value to a final value.

The instantaneous rate of change is a concept in calculus that describes how a quantity changes at a specific point in time. It is the limit of the average rate of change as the time interval approaches zero. Here are the steps to calculate it:

1. Identify the function: The first step is to identify the function for which you want to find the instantaneous rate of change.

2. Differentiate the function: The next step is to find the derivative of the function. The derivative of a function gives the rate of change of the function at any point.

3. Substitute the point into the derivative: Once you have the derivative, substitute the point at which you want to find the instantaneous rate of change into the derivative. This will give you the instantaneous rate of change at that specific point.

Remember, the instantaneous rate of change is essentially the slope of the tangent line to the function at a specific point. It tells you how fast the function is changing at that exact moment.