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Popular >

inflection (18)/(x^2+12)

Solution

inflection points

\frac{18}{x ^{2} + 12}

Solution

(- 2, \frac{9}{8}), (2, \frac{9}{8})

Solution steps

f^{''} (x) = - \frac{108 ( - 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{18}{x ^{2} + 12} : \frac{9}{8}

(- 2, \frac{9}{8})

Plug

x = 2

into

\frac{18}{x ^{2} + 12} : \frac{9}{8}

(2, \frac{9}{8})

(- 2, \frac{9}{8}), (2, \frac{9}{8})

Popular Examples

extreme f(x)=x^2-3 extreme points

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

range of f(x)=(x+2)^2 range

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

inverse of f(x)=(x+3)^2+1 inverse

f (x) = (x + 3)^{2} + 1

domain of f(x)=(7x)/(x^2+x-2)domain

f (x) = \frac{7 x}{x ^{2} + x - 2}

inflection x^3-3x^2-9x+10 inflection points

x^{3} - 3 x^{2} - 9 x + 10

Frequently Asked Questions (FAQ)

What is the inflection (18)/(x^2+12) ?
The inflection (18)/(x^2+12) is (-2, 9/8),(2, 9/8)