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Popular >

inflection f(x)=(x^3)/(x^2-4)

Solution

inflection points

f (x) = \frac{x ^{3}}{x ^{2} - 4}

Solution

(0, 0)

Solution steps

f^{''} (x) = \frac{8 x ( x ^{2} + 12 )}{( x ^{2} - 4 ) ^{3}}

Find intervals:

Concave Downward

: - \infty < x < - 2,

Concave Upward

: - 2 < x < 0,

Concave Downward

: 0 < x < 2,

Concave Upward

: 2 < x < \infty

Plug

x = 0

into

\frac{x ^{3}}{x ^{2} - 4} : 0

(0, 0)

Popular Examples

inverse of f(x)=(x+4)/(x+9)inverse

f (x) = \frac{x + 4}{x + 9}

asymptotes of cos(x)-3 asymptotes

cos (x) - 3

domain of f(x)=(x^4)/(sqrt(2-x))domain

f (x) = \frac{x ^{4}}{2 - x}

distance (-4,3),(1,-3)distance

(- 4, 3), (1, - 3)

inverse of log_{10}(5x)inverse

lo g_{10} (5 x)

Frequently Asked Questions (FAQ)

What is the inflection f(x)=(x^3)/(x^2-4) ?
The inflection f(x)=(x^3)/(x^2-4) is (0,0)