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Popular >

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)

Popular Examples

intercepts of x^2-16 intercepts

x^{2} - 16

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

\frac{x}{x ^{2} + 14 x + 48}

parity cot(x)*arccsc(x)parity

cot (x) \cdot arccsc (x)

domain of sqrt(8-x)domain

8 - x

domain of sqrt(9-2x)domain

9 - 2 x

Frequently Asked Questions (FAQ)

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