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In Mathematics , maxima and minima, also known as '''extrema''', are points in the Domain of a Function at which the function takes the largest (maximum), or smallest (minimum) value either within a given neighbourhood (local extrema), or on the function domain in its entirety (global extrema).


DEFINITIONS


  • '' is a local (or '''relative''') '''maximum''' of a

  The Function ''x'' Has A Global Minimum At ''x'' 0 that cannot be found by taking derivatives, because the derivative does not exist at ''x'' = 0