What is the inflection (x^2-9)^6 ?

The inflection (x^2-9)^6 is (-3/(sqrt(11)),(90^6)/(1771561)),(3/(sqrt(11)),(90^6)/(1771561))

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inflection (x^2-9)^6

inflection points

(x^{2} - 9)^{6}

(- \frac{3}{11}, \frac{9 0 ^{6}}{1771561}), (\frac{3}{11}, \frac{9 0 ^{6}}{1771561})

Solution steps

f^{''} (x) = 12 ((x^{2} - 9)^{5} + 10 x^{2} (x^{2} - 9)^{4})

Find intervals:

Concave Upward

: - \infty < x < - 3,

Concave Upward

: - 3 < x < - \frac{3}{11},

Concave Downward

: - \frac{3}{11} < x < \frac{3}{11},

Concave Upward

: \frac{3}{11} < x < 3,

Concave Upward

: 3 < x < \infty

Plug

x = - \frac{3}{11}

into

(x^{2} - 9)^{6} : \frac{9 0 ^{6}}{1771561}

(- \frac{3}{11}, \frac{9 0 ^{6}}{1771561})

Plug

x = \frac{3}{11}

into

(x^{2} - 9)^{6} : \frac{9 0 ^{6}}{1771561}

(\frac{3}{11}, \frac{9 0 ^{6}}{1771561})

(- \frac{3}{11}, \frac{9 0 ^{6}}{1771561}), (\frac{3}{11}, \frac{9 0 ^{6}}{1771561})

x^{4}

f (x) = 2 x^{3} - 24 x - 6

\frac{e ^{y} + e ^{- y}}{2}

f (x) = \frac{2 x + 1}{x ^{2} + 5 x + 4}

\frac{1}{x ^{2} - 4}

What is the inflection (x^2-9)^6 ?
The inflection (x^2-9)^6 is (-3/(sqrt(11)),(90^6)/(1771561)),(3/(sqrt(11)),(90^6)/(1771561))