Calculus Essentials For Dummies by Ryan Mark

Author:Ryan, Mark [Ryan, Mark]
Language: eng
Format: epub
Tags: Mathematics
ISBN: 9780470642689
Publisher: For Dummies
Published: 2010-04-28T21:00:00+00:00

An inflection point on a function (except for a vertical inflection point where the derivative is undefined) corresponds to a local extremum on the graph of its derivative. An inflection point of minimum slope corresponds to a local min on the derivative graph; an inflection point of maximum slope corresponds to a local max on the derivative graph.

After (0, 0), f is concave down till the inflection point at about — this corresponds to the decreasing section of from (0, 0) to its min at — interval D in Figure 6-10. Finally, f is concave up the rest of the way, which corresponds to the increasing section of beginning at — intervals E and F in Figure 6-10.

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