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Popular >

inflection f(x)= x/(x^2-9)

Solution

inflection points

f (x) = \frac{x}{x ^{2} - 9}

Solution

(0, 0)

Solution steps

f^{''} (x) = - \frac{2 x ( - x ^{2} - 27 )}{( x ^{2} - 9 ) ^{3}}

Find intervals:

Concave Downward

: - \infty < x < - 3,

Concave Upward

: - 3 < x < 0,

Concave Downward

: 0 < x < 3,

Concave Upward

: 3 < x < \infty

Plug

x = 0

into

\frac{x}{x ^{2} - 9} : 0

(0, 0)

Popular Examples

critical sqrt(x^3-1)critical points

x^{3} - 1

periodicity of 2tan(-x/2-2pi)-2 periodicity

2 tan (- \frac{x}{2} - 2 π) - 2

extreme x^2+2x+7 extreme points

x^{2} + 2 x + 7

range of (x-1)/2 range

\frac{x - 1}{2}

extreme f(x)=cos(x)extreme points

f (x) = cos (x)

Frequently Asked Questions (FAQ)

What is the inflection f(x)= x/(x^2-9) ?
The inflection f(x)= x/(x^2-9) is (0,0)