What is the maximum number of relative extrema contained in the graph of this function? f(x)=3x^5-x^3+4x-2

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asked Jun 24, 2020 58.2k views

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Webspirit · Answer 1 · 2020-06-29T13:11:15+0000

Answer:

the graph of this function has no local extrema

Explanation:

A 5th-degree polynomial graph will have a maximum of 4 local extrema, in general. However, this function has none. The derivative of this function is positive everywhere, so there are no extrema.

What is the maximum number of relative extrema contained in the graph of this function-example-1

What is the maximum number of relative extrema contained in the graph of this function? f(x)=3x^5-x^3+4x-2

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