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Popular >

extreme f(x)=((e^x))/(7x)

Solution

extreme points

f (x) = \frac{( e ^{x} )}{7 x}

Solution

Minimum (1, \frac{e}{7})

Solution steps

f^{'} (x) = \frac{e ^{x} x - e ^{x}}{7 x ^{2}}

Find intervals:

Decreasing

: - \infty < x < 0,

Decreasing

: 0 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = 1

into

\frac{e ^{x}}{7 x} : \frac{e}{7}

Minimum (1, \frac{e}{7})

Popular Examples

parallel 7x-5y=-30 parallel

7 x - 5 y = - 30

midpoint (-3,1),(-1,-1)midpoint

(- 3, 1), (- 1, - 1)

global x^2 global extreme points

x^{2}

domain of 2/(x-2)-8 domain

\frac{2}{x - 2} - 8

slope ofintercept y-7=-5/2 (x+6)slope intercept

y - 7 = - \frac{5}{2} (x + 6)

Frequently Asked Questions (FAQ)

What is the extreme f(x)=((e^x))/(7x) ?
The extreme f(x)=((e^x))/(7x) is Minimum(1, e/7)