What is the inflection f(x)=18x^4-108x^2 ?

The inflection f(x)=18x^4-108x^2 is (-1,-90),(1,-90)

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inflection f(x)=18x^4-108x^2

inflection points

f (x) = 18 x^{4} - 108 x^{2}

(- 1, - 90), (1, - 90)

Solution steps

f^{''} (x) = 216 x^{2} - 216

Find intervals:

Concave Upward

: - \infty < x < - 1,

Concave Downward

: - 1 < x < 1,

Concave Upward

: 1 < x < \infty

Plug

x = - 1

into

18 x^{4} - 108 x^{2} : - 90

(- 1, - 90)

Plug

x = 1

into

18 x^{4} - 108 x^{2} : - 90

(1, - 90)

(- 1, - 90), (1, - 90)

y = \frac{4 x ^{2} - 5}{2 x ^{3} + x}

f (x) = \frac{- x ^{2} + 25}{4 x + 20}

f (x) = \frac{x ^{2} + 3}{x - 1}

f (x) = (x + 7)^{3} - 7

What is the inflection f(x)=18x^4-108x^2 ?
The inflection f(x)=18x^4-108x^2 is (-1,-90),(1,-90)