HSF.IF.B.6: Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.

Also written as F-IF.6 or F.IF.6

Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.

Example Problems

Find

\frac{d}{dx}(2x^3 e^x)

.

Find

\frac{d}{dx}(5\log(x))

.

Find

\frac{d}{dx}(9\log(x))

.

Khan Academy Resources

Average rate of change review Average rate of change of polynomials Average rate of change word problems Average rate of change: graphs & tables Average rate of change word problem: equation Introduction to average rate of change Worked example: average rate of change from equation Worked example: average rate of change from graph Worked example: average rate of change from table Sign of average rate of change of polynomials Average rate of change word problem: graph Finding average rate of change of polynomials Average rate of change word problem: table

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