Min/Max problems, Mean Value Theorem - theory

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9 Terms

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Let f(x) be a function which is defined on an interval I of real numbers. Value M is maximum value on I if…

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Extrem value theorem

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Closed Interval Test (how to find min/max on interval)

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Mean Value Theorem

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With what statement we start talking about Mean value theorem

If the derivative of a function is everywhere zero, then the function is constant.

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What is interesting about Mean value theorem?

The mean value theorem is a technical result whose applications are more important than the theorem itself

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3 Consequences of the MVT

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Rolle’s Theorem:

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