What is the extreme x^4-2x^2+1[-2.2] ?

The extreme x^4-2x^2+1[-2.2] is Minimum(-1,-3.2),Maximum(0,-2.2),Minimum(1,-3.2)

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extreme x^4-2x^2+1[-2.2]

extreme

Minimum (- 1, - 3.2), Maximum (0, - 2.2), Minimum (1, - 3.2)

Solution steps

f^{'} (x) = 4 x^{3} - 4 x

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < 0,

Decreasing

: 0 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = - 1

into

x^{4} - 2 x^{2} + 1 [- 2.2] : - 3.2

Minimum (- 1, - 3.2)

Plug

x = 0

into

x^{4} - 2 x^{2} + 1 [- 2.2] : - 2.2

Maximum (0, - 2.2)

Plug

x = 1

into

x^{4} - 2 x^{2} + 1 [- 2.2] : - 3.2

Minimum (1, - 3.2)

Minimum (- 1, - 3.2), Maximum (0, - 2.2), Minimum (1, - 3.2)

What is the extreme x^4-2x^2+1[-2.2] ?
The extreme x^4-2x^2+1[-2.2] is Minimum(-1,-3.2),Maximum(0,-2.2),Minimum(1,-3.2)