What is the extreme f(x)=5x^7+2x^3+6 ?

The extreme f(x)=5x^7+2x^3+6 is Saddle(0,6)

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extreme f(x)=5x^7+2x^3+6

extreme

Saddle (0, 6)

Solution steps

Find the critical points:

x = 0

Domain of

5 x^{7} + 2 x^{3} + 6 : - \infty < x < \infty

Find intervals:

Increasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug the extreme point

x = 0

into

5 x^{7} + 2 x^{3} + 6 \Rightarrow y = 6

Saddle (0, 6)

What is the extreme f(x)=5x^7+2x^3+6 ?
The extreme f(x)=5x^7+2x^3+6 is Saddle(0,6)