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Popular >

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

Solution

extreme points

f (x) = \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 y=x^{2/3}extreme points

y = x^{\frac{2}{3}}

extreme f(x)=-3x^3-9x^2 extreme points

f (x) = - 3 x^{3} - 9 x^{2}

extreme f(x,y)=4xy-y^4-2x^2 extreme points

f (x, y) = 4 x y - y^{4} - 2 x^{2}

extreme f(x,y)=2x^3-6x^2+y^3+21y^2 extreme points

f (x, y) = 2 x^{3} - 6 x^{2} + y^{3} + 21 y^{2}

extreme x^2-4x+3 extreme points

x^{2} - 4 x + 3

Frequently Asked Questions (FAQ)

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