What is the inflection f(x)=(24)/(x^2+12) ?

The inflection f(x)=(24)/(x^2+12) is (-2, 3/2),(2, 3/2)

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inflection f(x)=(24)/(x^2+12)

inflection points

f (x) = \frac{24}{x ^{2} + 12}

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

Solution steps

f^{''} (x) = - \frac{144 ( - x ^{2} + 4 )}{( x ^{2} + 12 ) ^{3}}

Find intervals:

Concave Upward

: - \infty < x < - 2,

Concave Downward

: - 2 < x < 2,

Concave Upward

: 2 < x < \infty

Plug

x = - 2

into

\frac{24}{x ^{2} + 12} : \frac{3}{2}

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

Plug

x = 2

into

\frac{24}{x ^{2} + 12} : \frac{3}{2}

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

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

f (x) = \frac{e ^{x} - e ^{- x}}{2}

f (x) = 5 x^{2} - 38 x - 63

\frac{x ^{2}}{( x + 2 ) ( x - 3 )}

\frac{4}{x + 3}

y = \frac{8 x + 1}{x - 8}

What is the inflection f(x)=(24)/(x^2+12) ?
The inflection f(x)=(24)/(x^2+12) is (-2, 3/2),(2, 3/2)