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Popular >

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)

Popular Examples

parity f(x)=4x^5+5x^3-x parity

f (x) = 4 x^{5} + 5 x^{3} - x

domain of f(x)=-1/2 (x-3)^2+(-8)domain

f (x) = - \frac{1}{2} (x - 3)^{2} + (- 8)

parity f(x)=(x^6)/(x^2-8)parity

f (x) = \frac{x ^{6}}{x ^{2} - 8}

domain of f(x)=sqrt(3-x)domain

f (x) = 3 - x

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

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)