What is the inflection x^4-8x^2+16 ?

The inflection x^4-8x^2+16 is (-2/(sqrt(3)), 64/9),(2/(sqrt(3)), 64/9)

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inflection x^4-8x^2+16

inflection points

x^{4} - 8 x^{2} + 16

(- \frac{2}{3}, \frac{64}{9}), (\frac{2}{3}, \frac{64}{9})

Solution steps

f^{''} (x) = 12 x^{2} - 16

Find intervals:

Concave Upward

: - \infty < x < - \frac{2}{3},

Concave Downward

: - \frac{2}{3} < x < \frac{2}{3},

Concave Upward

: \frac{2}{3} < x < \infty

Plug

x = - \frac{2}{3}

into

x^{4} - 8 x^{2} + 16 : \frac{64}{9}

(- \frac{2}{3}, \frac{64}{9})

Plug

x = \frac{2}{3}

into

x^{4} - 8 x^{2} + 16 : \frac{64}{9}

(\frac{2}{3}, \frac{64}{9})

(- \frac{2}{3}, \frac{64}{9}), (\frac{2}{3}, \frac{64}{9})

f (x) = x^{2} + 6 x + 9

f (x) = 4 x + 1, 0 \leq x < 1

(38) (3 - 6)

\frac{10 x - 1}{3 - 5 x}

1 1^{23}

What is the inflection x^4-8x^2+16 ?
The inflection x^4-8x^2+16 is (-2/(sqrt(3)), 64/9),(2/(sqrt(3)), 64/9)