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To discuss the notion of local minima and local maxima of functions
To introduce and prove the mean value theorem
This packet proves the mean value theorem of single variable calculus.
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Before starting this packet, you should have learned a bit about the following topics.
In this video, we quickly investigate the properties of local minima and maxima, and look into how they relate to derivatives.
In this video we state the mean value theorem before proving using our knowledge of derivatives and local extrema.