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what is extreme point in math. This calculus -related article contains minimal information concerning its topic. Then using the plot of the function you can determine whether the points you find were a local minimum or a local maximum.
An extremum plural extrema is a point of a function at which it has the highest maximum or lowest minimum value. The local minima and maxima can be found by solving fx 0. Extrema look like the tops of hills and the bottoms of valleys.
A global maximum or minimum is the highest or lowest value of the entire function whereas a local maximum or minimum is the highest or lowest value in its neighbourhood.
If the calculation results in a value greater than 0 it is a minimum point. If the calculation is equal to 0 it is a point of inflection. If the calculation results in a value less than 0 it is a maximum point. Apex acme vertex peak - the highest point of something.