What is the inflection f(x)=x^4-54x^2+1 ?

The inflection f(x)=x^4-54x^2+1 is (-3,-404),(3,-404)

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inflection f(x)=x^4-54x^2+1

inflection

(- 3, - 404), (3, - 404)

Solution steps

f^{''} (x) = 12 x^{2} - 108

Find intervals:

Concave Upward

: - \infty < x < - 3,

Concave Downward

: - 3 < x < 3,

Concave Upward

: 3 < x < \infty

Plug

x = - 3

into

x^{4} - 54 x^{2} + 1 : - 404

(- 3, - 404)

Plug

x = 3

into

x^{4} - 54 x^{2} + 1 : - 404

(3, - 404)

(- 3, - 404), (3, - 404)

What is the inflection f(x)=x^4-54x^2+1 ?
The inflection f(x)=x^4-54x^2+1 is (-3,-404),(3,-404)