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Popular Functions >

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

Solution

inflection points

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

Solution

(0, 0)

Solution steps

f^{''} (x) = \frac{6 x ( x ^{2} + 27 )}{( 9 - x ^{2} ) ^{3}}

Find intervals:

Concave Upward

: - \infty < x < - 3,

Concave Downward

: - 3 < x < 0,

Concave Upward

: 0 < x < 3,

Concave Downward

: 3 < x < \infty

Plug

x = 0

into

\frac{3 x}{9 - x ^{2}} : 0

(0, 0)

Graph

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range of f(x)=3-t^2

Frequently Asked Questions (FAQ)

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