112. Critical Points
A critical point of a function is a point in the domain where either:
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is undefined
Example
on has no maximum because it keeps increasing as .
112.0.1. Global vs. Local Extrema
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is a relative maximum if for all for
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is a relative minimum if for all for
112.0.2. First and Second Derivative Tests
First Derivative Test and the Second Derivative Test are used to classify critical points, and both aim to determine whether the point is a local maximum, local minimum, or neither