In many of my videos I have stated that the derivative can be viewed as the instantaneous rate of change of a function so I thought it would be good to do a video explaining further on this. In this video I go over how the derivative can be viewed as the instantaneous rate of change and show how the definition of instantaneous rate of change is the exact same as the definition of derivative.

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Interpretation of the Derivative as Rate of Change

Exact same thing as definition of derivative:

The instantaneous rate of change of a function is the derivative.

If s = f(t) = distance or position function, than the rate of change = velocity = v = f’(t); note speed = |v|

See Definition of Derivative: Example 2 Video: