In this lesson we are going to talk about Average and Instantaneous Rates of Change. First, we are going to talk about definitions of both average and instantaneous rate of change and see what are they in geometrical point of view. The Average Rate of Change function describes the average rate at which one quantity is changing with respect to something else changing. Instantaneous Rates of Change can be found by either taking a limit of average rates of change or by computing a derivative directly. Through several examples we are going to see how to find average rate of change and estimate the instantaneous rate of change.
Start by sketching
the function, and sketch the required secant lines or tangent lines.
The average rate
of change is a secant line slope.
rate of change is a tangent line slope.
rates of change can be found by either taking a limit of average
rates of change or by computing a derivative directly.
Average and Instantaneous Rates of Change
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