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Popular >

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

Solution

inflection points

f (x) = \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)

Popular Examples

domain of (3x)/(x^2-1)domain

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

domain of f(x)=(1-3x)/(4+x)domain

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

inverse of f(x)=8^x+13 inverse

f (x) = 8^{x} + 13

asymptotes of f(x)=(x^4)/(x^2+3)asymptotes

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

range of (x+3)/x range

\frac{x + 3}{x}

Frequently Asked Questions (FAQ)

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