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Popular >

inflection (x^2)/(x^2+3)

Solution

inflection points

\frac{x ^{2}}{x ^{2} + 3}

Solution

(- 1, \frac{1}{4}), (1, \frac{1}{4})

Solution steps

f^{''} (x) = \frac{18 ( - x ^{2} + 1 )}{( x ^{2} + 3 ) ^{3}}

Find intervals:

Concave Downward

: - \infty < x < - 1,

Concave Upward

: - 1 < x < 1,

Concave Downward

: 1 < x < \infty

Plug

x = - 1

into

\frac{x ^{2}}{x ^{2} + 3} : \frac{1}{4}

(- 1, \frac{1}{4})

Plug

x = 1

into

\frac{x ^{2}}{x ^{2} + 3} : \frac{1}{4}

(1, \frac{1}{4})

(- 1, \frac{1}{4}), (1, \frac{1}{4})

Popular Examples

asymptotes of ((x^2))/(x^2-16)asymptotes

\frac{( x ^{2} )}{x ^{2} - 16}

domain of f(x)=sqrt(x^2+x+4)domain

f (x) = x^{2} + x + 4

domain of f(x)= 5/(x^2+5x-24)domain

f (x) = \frac{5}{x ^{2} + 5 x - 24}

domain of f(x)= 2/3 sqrt(x+1)-4 domain

f (x) = \frac{2}{3} x + 1 - 4

inverse of f(x)=((5x+2))/(x-3)inverse

f (x) = \frac{( 5 x + 2 )}{x - 3}

Frequently Asked Questions (FAQ)

What is the inflection (x^2)/(x^2+3) ?
The inflection (x^2)/(x^2+3) is (-1, 1/4),(1, 1/4)