What is the inflection f(x)= 1/6 x^4-31x^2 ?

The inflection f(x)= 1/6 x^4-31x^2 is (-sqrt(31),-4805/6),(sqrt(31),-4805/6)

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inflection f(x)= 1/6 x^4-31x^2

inflection

(- 31, - \frac{4805}{6}), (31, - \frac{4805}{6})

Solution steps

f^{''} (x) = 2 x^{2} - 62

Find intervals:

Concave Upward

: - \infty < x < - 31,

Concave Downward

: - 31 < x < 31,

Concave Upward

: 31 < x < \infty

Plug

x = - 31

into

\frac{1}{6} x^{4} - 31 x^{2} : - \frac{4805}{6}

(- 31, - \frac{4805}{6})

Plug

x = 31

into

\frac{1}{6} x^{4} - 31 x^{2} : - \frac{4805}{6}

(31, - \frac{4805}{6})

(- 31, - \frac{4805}{6}), (31, - \frac{4805}{6})

What is the inflection f(x)= 1/6 x^4-31x^2 ?
The inflection f(x)= 1/6 x^4-31x^2 is (-sqrt(31),-4805/6),(sqrt(31),-4805/6)