An extremum is a point on a curve f(x) at which there is an instantaneous change of sign of the derivative f '(x). If f '(x) is defined at this point it has value 0. There are two types of extrema: maximum and minimum. At a maximum f '(x) changes from positive to negative; at a minimum f '(x) changes from negative to positive. Points of inflection are not extrema.
Related category CALCULUS AND ANALYSIS
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