# 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.