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Popular Functions >

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

Solution

inflection

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)

Graph

Popular Examples

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

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

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)