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Mathematics 14 Online
OpenStudy (anonymous):

what is the maximum number of relative extrema contained in the graph of this function? I don't understand how to find this 3x^5-x^3+4x-2

jimthompson5910 (jim_thompson5910):

In general, if the degree is n, then the max number of relative extrema is n-1.

jimthompson5910 (jim_thompson5910):

ex: quadratic (degree: n = 2) -- max of 1 relative extrema |dw:1354833923076:dw| cubic (degree: n = 3) -- max of 2 relative extrema |dw:1354833960986:dw|

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