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Popular Functions >

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

Solution

extreme points

f (x) = \frac{e ^{x}}{x}

Solution

Minimum (1, e)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 0,

Decreasing

: 0 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = 1

into

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

Minimum (1, e)

Graph

Popular Examples

critical x/(x^2+14x+48)

slope of 5x-3y=6

asymptotes of f(x)=(9x)/(x^2+4x-5)

asymptotes of f(x)= 2/(x-3)

line (3,2),(8,12)

Frequently Asked Questions (FAQ)

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