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Popular Functions >

inflection f(x)=(9x)/(x^2-4)

Solution

inflection points

f (x) = \frac{9 x}{x ^{2} - 4}

Solution

(0, 0)

Solution steps

f^{''} (x) = - \frac{18 x ( - x ^{2} - 12 )}{( x ^{2} - 4 ) ^{3}}

Find intervals:

Concave Downward

: - \infty < x < - 2,

Concave Upward

: - 2 < x < 0,

Concave Downward

: 0 < x < 2,

Concave Upward

: 2 < x < \infty

Plug

x = 0

into

\frac{9 x}{x ^{2} - 4} : 0

(0, 0)

Graph

Popular Examples

domain of (-5x+25)/9

domain of f(x)=\sqrt[3]{x+3}

distance (-8,6),(-6,0)

asymptotes of f(x)= 1/((x+2)(x-4))

intercepts of (5x+10)/(-2x^2-6x-4)

Frequently Asked Questions (FAQ)

What is the inflection f(x)=(9x)/(x^2-4) ?
The inflection f(x)=(9x)/(x^2-4) is (0,0)