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Popular Functions >

inflection (x^3)/(x^2-4)

Solution

inflection points

\frac{x ^{3}}{x ^{2} - 4}

Solution

(0, 0)

Solution steps

f^{''} (x) = \frac{8 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{x ^{3}}{x ^{2} - 4} : 0

(0, 0)

Graph

Popular Examples

extreme f(x)=-64x^3+12x+4

asymptotes of f(x)=(e^{2x}-2)/(e^{2x)+1}

slope ofintercept 5-(2y-2x)/2 =4x+4

asymptotes of f(x)=(x^2+5x+4)/(x^2-1)

periodicity of f(x)=sin(1/2 x)

Frequently Asked Questions (FAQ)

What is the inflection (x^3)/(x^2-4) ?
The inflection (x^3)/(x^2-4) is (0,0)