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Popular Functions >

inflection y=((x^3))/(x^2-9)

Solution

inflection points

y = \frac{( x ^{3} )}{x ^{2} - 9}

Solution

(0, 0)

Solution steps

f^{''} (x) = \frac{18 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 ^{3}}{x ^{2} - 9} : 0

(0, 0)

Graph

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Frequently Asked Questions (FAQ)

What is the inflection y=((x^3))/(x^2-9) ?
The inflection y=((x^3))/(x^2-9) is (0,0)