en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme (x^2)/2+1/x

Solution

extreme points

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

Solution

Minimum (1, \frac{3}{2})

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 0,

Decreasing

: 0 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = 1

into

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

Minimum (1, \frac{3}{2})

Popular Examples

asymptotes of (x^2+3x+2)/(-3x-12)asymptotes

\frac{x ^{2} + 3 x + 2}{- 3 x - 12}

critical f(x)=x(x-1)^{2/5}critical points

f (x) = x (x - 1)^{\frac{2}{5}}

inverse of f(x)=-4/(x+1)inverse

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

intercepts of f(x)=x^2-6x+8 intercepts

f (x) = x^{2} - 6 x + 8

asymptotes of (4x^2)/(2x^3-x)asymptotes

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

Frequently Asked Questions (FAQ)

What is the extreme (x^2)/2+1/x ?
The extreme (x^2)/2+1/x is Minimum(1, 3/2)