en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

extreme points

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

Solution

Minimum (0, 1)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

\frac{e ^{x}}{1 + x} : 1

Minimum (0, 1)

Popular Examples

line (-2,0),(0,4)line

(- 2, 0), (0, 4)

midpoint (-5,-3),(-1,-7)midpoint

(- 5, - 3), (- 1, - 7)

extreme g(x)=(x-2)^3(x+1)^2 extreme points

g (x) = (x - 2)^{3} (x + 1)^{2}

inverse of g(x)= 2/x-1 inverse

g (x) = \frac{2}{x} - 1

monotone 4/(x^2-2x)monotone intervals

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

Frequently Asked Questions (FAQ)

What is the extreme (e^x)/(1+x) ?
The extreme (e^x)/(1+x) is Minimum(0,1)