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Popular >

inflection f(x)=x^2+1/x

Solution

inflection points

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

Solution

(- 1, 0)

Solution steps

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

Find intervals:

Concave Upward

: - \infty < x < - 1,

Concave Downward

: - 1 < x < 0,

Concave Upward

: 0 < x < \infty

Plug

x = - 1

into

x^{2} + \frac{1}{x} : 0

(- 1, 0)

Popular Examples

midpoint (-7,-4),(3,-2)midpoint

(- 7, - 4), (3, - 2)

asymptotes of f(x)=(2x+2)/(x-3)asymptotes

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

inverse of f(x)=-10+8x inverse

f (x) = - 10 + 8 x

inverse of f(x)=((-16+n))/4 inverse

f (x) = \frac{( - 16 + n )}{4}

extreme xln(x)extreme points

x ln (x)

Frequently Asked Questions (FAQ)

What is the inflection f(x)=x^2+1/x ?
The inflection f(x)=x^2+1/x is (-1,0)