What is the inflection f(x)=13x^4-78x^2 ?

The inflection f(x)=13x^4-78x^2 is (-1,-65),(1,-65)

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inflection f(x)=13x^4-78x^2

inflection points

f (x) = 13 x^{4} - 78 x^{2}

(- 1, - 65), (1, - 65)

Solution steps

f^{''} (x) = 156 x^{2} - 156

Find intervals:

Concave Upward

: - \infty < x < - 1,

Concave Downward

: - 1 < x < 1,

Concave Upward

: 1 < x < \infty

Plug

x = - 1

into

13 x^{4} - 78 x^{2} : - 65

(- 1, - 65)

Plug

x = 1

into

13 x^{4} - 78 x^{2} : - 65

(1, - 65)

(- 1, - 65), (1, - 65)

What is the inflection f(x)=13x^4-78x^2 ?
The inflection f(x)=13x^4-78x^2 is (-1,-65),(1,-65)