What is the inflection f(x)=19x^4-114x^2 ?

The inflection f(x)=19x^4-114x^2 is (-1,-95),(1,-95)

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inflection f(x)=19x^4-114x^2

inflection points

f (x) = 19 x^{4} - 114 x^{2}

(- 1, - 95), (1, - 95)

Solution steps

f^{''} (x) = 228 x^{2} - 228

Find intervals:

Concave Upward

: - \infty < x < - 1,

Concave Downward

: - 1 < x < 1,

Concave Upward

: 1 < x < \infty

Plug

x = - 1

into

19 x^{4} - 114 x^{2} : - 95

(- 1, - 95)

Plug

x = 1

into

19 x^{4} - 114 x^{2} : - 95

(1, - 95)

(- 1, - 95), (1, - 95)

f (x) = x^{2} + 16 x - 4

\frac{x + 4}{8 x}

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

f (x) = (16 x^{2} - 16)^{\frac{1}{5}}

f (x) = - 2 - x^{3}

What is the inflection f(x)=19x^4-114x^2 ?
The inflection f(x)=19x^4-114x^2 is (-1,-95),(1,-95)