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Maxima minima of function

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This notes cover how to find maxima ,minima value of function, shape of function and properties.

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APPLICATION OF
MONOTONICITY

,1. Critical Points & Stationary Point
2. Concavity, Convexity and the Point of Inflection
3. Local Maxima & Local Minima
4. Global Maxima & Global Minima

,Critical Points & Stationary Point
Critical Point: for function is said to be critical point if or not defined but exist.
Stationary Point: is said to be stationary point if exist & exist.
For example:
,


Here not defined, but exist it mean is critical point.

, Ex.




Here not exist
exist
at , exist
at , exist
It mean critical point.

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