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Popular Functions >

inflection (x^3)/(x^2-1)

Solution

inflection points

\frac{x ^{3}}{x ^{2} - 1}

Solution

(0, 0)

Solution steps

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

Find intervals:

Concave Downward

: - \infty < x < - 1,

Concave Upward

: - 1 < x < 0,

Concave Downward

: 0 < x < 1,

Concave Upward

: 1 < x < \infty

Plug

x = 0

into

\frac{x ^{3}}{x ^{2} - 1} : 0

(0, 0)

Graph

Popular Examples

range of (x+3)^3

r an g e (x + 3)^{3}

range of (x^2-4)/(x-2)

r an g e \frac{x ^{2} - 4}{x - 2}

range of f(x)=-3x^2-24x+11

r an g e f (x) = - 3 x^{2} - 24 x + 11

parity f(x)=x^3+5x

p a r i t y f (x) = x^{3} + 5 x

intercepts of (x^2-1)/(x^2+1)

in t erce pt s \frac{x ^{2} - 1}{x ^{2} + 1}

Frequently Asked Questions (FAQ)

What is the inflection (x^3)/(x^2-1) ?
The inflection (x^3)/(x^2-1) is (0,0)