chapter 3: applications of differentiation

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6 Terms

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Absolute extremea

The SINGLE most highest/lowest point on the whole graph

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Relative extreme: like the hills & curves

relative extreme occur at the critical numbers (when f’ is 0 or undefined)

3
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Extreme value theorem

If f is continues on a closed interval, then there is a min and max on said interval

4
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Rolles Theorem

if (a & b are different, but have f(a) = f(b), and the function is continuous and differentiable on the open internal, f’© = 0

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Mean value theorem

If f is continuous and differentiable on interval (a,b), c exists so f’c = average rate of change (slope)

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