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Popular >

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

Solution

extreme points

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

Solution

Minimum (0, 1)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

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

Minimum (0, 1)

Popular Examples

extreme f(x)=|x^2-2x-3|,0<= x<= 2 extreme points

f (x) = x^{2} - 2 x - 3, 0 \leq x \leq 2

extreme f(x)=x(14-2x)(15-x)extreme points

f (x) = x (14 - 2 x) (15 - x)

extreme 1/4 x^4-2/3 x^3-1/2 x^2+2x-1 extreme points

\frac{1}{4} x^{4} - \frac{2}{3} x^{3} - \frac{1}{2} x^{2} + 2 x - 1

extreme f(x)=2x^2+3y^2-7 extreme points

f (x) = 2 x^{2} + 3 y^{2} - 7

extreme f(x)= 1/3 x^3-x^2+x-5 extreme points

f (x) = \frac{1}{3} x^{3} - x^{2} + x - 5

Frequently Asked Questions (FAQ)

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