What is the extreme x^4+x^2-10x+25 ?

The extreme x^4+x^2-10x+25 is Minimum(1.23477…,16.50153…)

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extreme x^4+x^2-10x+25

extreme

Minimum (1.23477 \dots, 16.50153 \dots)

Solution steps

Find the critical points:

x \approx 1.23477 \dots

Domain of

x^{4} + x^{2} - 10 x + 25 : - \infty < x < \infty

Find intervals:

Decreasing

: - \infty < x < 1.23477 \dots,

Increasing

: 1.23477 \dots < x < \infty

Plug the extreme point

x = 1.23477 \dots

into

x^{4} + x^{2} - 10 x + 25 \Rightarrow y = 16.50153 \dots

Minimum (1.23477 \dots, 16.50153 \dots)

What is the extreme x^4+x^2-10x+25 ?
The extreme x^4+x^2-10x+25 is Minimum(1.23477…,16.50153…)