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Popular >

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

Solution

inflection points

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

(0, 0)

Popular Examples

range of sqrt(x-5)+3 range

x - 5 + 3

inverse of f(x)=(x+5)/(-4x)inverse

f (x) = \frac{x + 5}{- 4 x}

extreme f(x)= 1/(1-x)extreme points

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

domain of f(x)=-7/((2+x)^2)domain

f (x) = - \frac{7}{( 2 + x ) ^{2}}

slope ofintercept-6y-3x=5x+4 slope intercept

- 6 y - 3 x = 5 x + 4

Frequently Asked Questions (FAQ)

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