What is the inflection f(x)=x^4-12x^2 ?

The inflection f(x)=x^4-12x^2 is (-sqrt(2),-20),(sqrt(2),-20)

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inflection f(x)=x^4-12x^2

inflection points

f (x) = x^{4} - 12 x^{2}

(- 2, - 20), (2, - 20)

Solution steps

f^{''} (x) = 12 x^{2} - 24

Find intervals:

Concave Upward

: - \infty < x < - 2,

Concave Downward

: - 2 < x < 2,

Concave Upward

: 2 < x < \infty

Plug

x = - 2

into

x^{4} - 12 x^{2} : - 20

(- 2, - 20)

Plug

x = 2

into

x^{4} - 12 x^{2} : - 20

(2, - 20)

(- 2, - 20), (2, - 20)

What is the inflection f(x)=x^4-12x^2 ?
The inflection f(x)=x^4-12x^2 is (-sqrt(2),-20),(sqrt(2),-20)