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5.2 Mean Value Theorem

Aug 04, 2014

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5.2 Mean Value Theorem. Mean Value Theorem for Derivatives. Ex. Given , find all c in (1, 4) using the MVT . Increasing Function, Decreasing Function. Corollary: Increasing and Decreasing Functions. Corollary: Functions with f’= 0 are Constant.

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5.2 Mean Value Theorem

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5.2 Mean Value Theorem
Mean Value Theorem for Derivatives
Ex. Given , find all c in (1, 4) using the MVT
Increasing Function, Decreasing Function

Corollary: Increasing and Decreasing Functions
Corollary: Functions with f’=0 are Constant
Ex. Determine the interval when f is inc/dec given
Corollary: Functions with the Same Derivative Differ by a Constant
Antiderivative
Find a function f(x) whose derivative is sinx and whose graph passes through the point (0, 2).
HWK: p. 206, # 1-37 odd

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Rolle’s Theorem and the Mean Value Theorem

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5.2 Mean Value Theorem

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Presentation Transcript

The Mean Value Theorem

Mean value theorem

The Mean Value Theorem

Mean Value Theorem

4.2 Mean Value Theorem &amp;amp; Rolle’s Theorem

The Mean Value Theorem

The Mean Value Theorem

Rolle’s Theorem and the Mean Value Theorem

The Mean Value Theorem and Rolle’s Theorem

2. Rolle’s Theorem and Mean Value Theorem

Mean Value Theorem

Mean Value and Rolle’s Theorem

4.2 Mean Value Theorem

Rolle’s Theorem and The Mean Value Theorem

4.2 Mean value theorem

4.2 Mean Value Theorem &amp;amp; Rolle’s Theorem

The Mean Value Theorem

Rolle’s Theorem and the Mean Value Theorem

Mean Value Theorem

Mean Value Theorem for Derivatives

Mean Value Theorem

4.2 - The Mean Value Theorem

4.2 Mean Value Theorem & Rolle’s Theorem

4.2 Mean Value Theorem & Rolle’s Theorem