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Popular >

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)

Popular Examples

asymptotes of f(x)=((3x+6)(x-1))/((x+5))asymptotes

f (x) = \frac{( 3 x + 6 ) ( x - 1 )}{( x + 5 )}

critical x^3-11x^2+39x-47 critical points

x^{3} - 11 x^{2} + 39 x - 47

slope of 8y-3x+6=0 slope

8 y - 3 x + 6 = 0

asymptotes of (6x)/(36-x^2)asymptotes

\frac{6 x}{36 - x ^{2}}

inverse of f(x)=(x-7)/(x+2)inverse

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

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)