What is the inflection f(x)=(25)/((x^2+3)) ?

The inflection f(x)=(25)/((x^2+3)) is (-1, 25/4),(1, 25/4)

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inflection f(x)=(25)/((x^2+3))

inflection points

f (x) = \frac{25}{( x ^{2} + 3 )}

(- 1, \frac{25}{4}), (1, \frac{25}{4})

Solution steps

f^{''} (x) = - \frac{150 ( - x ^{2} + 1 )}{( x ^{2} + 3 ) ^{3}}

Find intervals:

Concave Upward

: - \infty < x < - 1,

Concave Downward

: - 1 < x < 1,

Concave Upward

: 1 < x < \infty

Plug

x = - 1

into

\frac{25}{x ^{2} + 3} : \frac{25}{4}

(- 1, \frac{25}{4})

Plug

x = 1

into

\frac{25}{x ^{2} + 3} : \frac{25}{4}

(1, \frac{25}{4})

(- 1, \frac{25}{4}), (1, \frac{25}{4})

f (x) = \frac{1}{2} x + \frac{3}{4}

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

f (x) = 5 x^{2}

f (x) = \frac{( 6 x )}{x + 7}

f (x) = ln (x - 4)

What is the inflection f(x)=(25)/((x^2+3)) ?
The inflection f(x)=(25)/((x^2+3)) is (-1, 25/4),(1, 25/4)