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.
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.
