What is the extreme f(x)=x(x^3-x+10) ?

The extreme f(x)=x(x^3-x+10) is Minimum(-1.47970…,-12.19254…)

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extreme f(x)=x(x^3-x+10)

extreme

Minimum (- 1.47970 \dots, - 12.19254 \dots)

Solution steps

Find the critical points:

x \approx - 1.47970 \dots

Domain of

x (x^{3} - x + 10) : - \infty < x < \infty

Find intervals:

Decreasing

: - \infty < x < - 1.47970 \dots,

Increasing

: - 1.47970 \dots < x < \infty

Plug the extreme point

x = - 1.47970 \dots

into

x (x^{3} - x + 10) \Rightarrow y = - 12.19254 \dots

Minimum (- 1.47970 \dots, - 12.19254 \dots)

What is the extreme f(x)=x(x^3-x+10) ?
The extreme f(x)=x(x^3-x+10) is Minimum(-1.47970…,-12.19254…)