Question

Find all relative extrema and classify each as a maximum or minimum. Use the​ second-derivative test...

Find all relative extrema and classify each as a maximum or minimum. Use the​ second-derivative test where possible.

​f(x)equals=125 x cubed minus 15 x plus 2125x3−15x+2

Identify all the relative minima. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

A.The relative minima are

nothing.

​(Simplify your answer. Type an ordered pair. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as​ needed.)

B.

There is no relative minimum.

Identify all the relative maxima. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

A.The relative maxima are

nothing.

​(Simplify your answer. Type an ordered pair. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as​ needed.)

B.

There is no relative maximum.

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