METHODS FOR STUDYING FUNCTION EXTREMA
DOI:
https://doi.org/10.56122/..v1i2(22).101Keywords:
Function, critical points, derivative of a function, increasing function, maximum, minimum of a function, necessary condition, 1st sufficient condition, 2nd sufficient condition, complex functionsAbstract
The article describes finding the critical points of a function, the concepts of maximum and minimum of a function, the stages of finding the extremum of a function, the necessary conditions for the existence of an extremum of a function. Also considered 1st and 2nd sufficient conditions for the existence of an extrema of a function, methods for studying extrema of elementary and complex functions. The maximum and minimum of some examples are shown on the graph. Examples of studying extrema using the first and second derivatives are given.
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