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The slope of the function is most positive either side of x=0 and x=2π.
On the interval [0, π/4], the average slope is
On the interval [7π/4, 9π/4], the average slope is
The average rate of change is highest on the intervals [0, π/4] and [7π/4, 9π/4].
On the interval [0, π/4], the average slope is
On the interval [7π/4, 9π/4], the average slope is
The average rate of change is highest on the intervals [0, π/4] and [7π/4, 9π/4].