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Graphical solution of Example 1
Why the precondition of differentiability is essential to the Mean Value Theorem
Why the precondition of differentiability on the closed interval is essential to the Mean Value Theorem.
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Simply, the AROC (Average Rate of Change) equals the IROC (instantaneous rate
of change) at some interior point of the interval.
You drive to Charlotte and your average speed is 90 miles per hour.
While you were driving, did your speedometer ever show that you were traveling 90
miles per hour?
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What would be a very concise definition of when a function is
increasing?
....decreasing?
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Graphical look at Example 6
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