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Popular Functions >

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)

Graph

Popular Examples

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

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

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

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

monotone 4/(x^2-2x)

Frequently Asked Questions (FAQ)

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