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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})

Graph

Popular Examples

extreme f(x)=12+6x^2-x^3 extreme points

f (x) = 12 + 6 x^{2} - x^{3}

extreme f(x)=(3x^2)/2 extreme points

f (x) = \frac{3 x ^{2}}{2}

extreme-x^2+3x-5 extreme points

- x^{2} + 3 x - 5

extreme-x^4+x^2 extreme points

- x^{4} + x^{2}

extreme f(x,y)=xy-x^2-y^2+3+9y extreme points

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

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)