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Popular >

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

Solution

inflection points

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

Solution

(0, 0)

Solution steps

f^{''} (x) = - \frac{6 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{3 x}{x ^{2} - 1} : 0

(0, 0)

Popular Examples

asymptotes of f(x)=-x^2+5x+9 asymptotes

f (x) = - x^{2} + 5 x + 9

inverse of f(x)=((5x^2))/2 inverse

f (x) = \frac{( 5 x ^{2} )}{2}

amplitude of 4cos(x/6)amplitude

4 cos (\frac{x}{6})

range of f(x)=sqrt(-2/3 (x-1/2))-3 range

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

inverse of f(x)=sqrt(x^2+9x)inverse

f (x) = x^{2} + 9 x

Frequently Asked Questions (FAQ)

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