Increasing/Decreasing/Concavity
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Definition
Any function is
- increasing at if
- decreasing at if
- concave up at if
- concave down at if
Critical point is the point where . A critical point is
- maxima where
- minima where
- inflection point if and does change sign around
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Critical Points
Critical Points are points where Notice that at critical points the function is neither increasing not decreasing.
You can comment on increasing/decreasing on either side of critical points.