#### Finding Rates of Change

- Recall that by definition, y=f^{\prime}(x) also represents the instantaneous rate of change of a function.
- Also, by definition, the average rate of change across an interval [a,\ b] is given by

Average \: Rate \: of \: Change =\frac{f(b)-f(a)}{b-a}

- Using differentiation, we can find the rate of change of a variable (e.g. volume, temperature, speed etc.) at any certain point of another variable (e.g. time).

Example