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Chapter 5
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If is decreasing then
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If is decreasing, then …
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For what kind of function would a tangent line approximation be LESS THAN the original function?
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If is concave up then …
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An inflection point occurs at a point in the domain when ______.
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If is increasing then
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If is concave down then …
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Instantaneous Rate of Change. =
Which Theorem does this describe? Average Rate of Change Instantaneous Rate of Change. =
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If has an inflection point, then …
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If _____ and ______ then has a relative minimum at x = a.
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If is increasing, then
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If has a horizontal tangent at x = a then ...
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What does the mean value theorem (MVT) tell us?
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When identifying absolute extrema on a closed interval, compare the y-coordinates of the ______ and ______.
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For what kind of function would a tangent line approximation be GREATER THAN the original function?
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A maximum point occurs when _______.
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is concave down when ______.
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If has a relative extrema then ...
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If _____ and ______ then has a relative maximum at x = a.
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A maximum point occurs when ________.
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Which Theorem does this describe?
Slope of Secant Line Slope of Tangent Line =
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is concave up when ____________.
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A minimum point occurs when ________.
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An inflection point occurs when ________.
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is concave up when _______.
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Calculating the time when the average velocity equals the instantaneous velocity is an application of __________.
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A minimum point occurs when ________.
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is concave down when ________.
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If the graph of has an extrema at x = b, then the graph of has a(n) _________ at x = b.
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