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Popular >

inflection 1/(x^2+3)

Solution

inflection points

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

Solution

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

Solution steps

f^{''} (x) = - \frac{6 ( - x ^{2} + 1 )}{( x ^{2} + 3 ) ^{3}}

Find intervals:

Concave Upward

: - \infty < x < - 1,

Concave Downward

: - 1 < x < 1,

Concave Upward

: 1 < x < \infty

Plug

x = - 1

into

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

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

Plug

x = 1

into

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

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

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

Popular Examples

domain of sqrt(16-x^2)*sqrt(x+3)domain

16 - x^{2} \cdot x + 3

domain of f(x)=\sqrt[3]{x^2-1}domain

extreme f(x)=x^3-7x^2+14x-8 extreme points

f (x) = x^{3} - 7 x^{2} + 14 x - 8

midpoint (-2,5),(-4,-1)midpoint

(- 2, 5), (- 4, - 1)

critical f(x)=(e^x)/(7+e^x)critical points

f (x) = \frac{e ^{x}}{7 + e ^{x}}

Frequently Asked Questions (FAQ)

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