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Popular >

extreme (e^x)/(x^2)

Solution

extreme points

\frac{e ^{x}}{x ^{2}}

Solution

Minimum (2, \frac{e ^{2}}{4})

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = 2

into

\frac{e ^{x}}{x ^{2}} : \frac{e ^{2}}{4}

Minimum (2, \frac{e ^{2}}{4})

Popular Examples

inverse of 4cos(x)+1 inverse

4 cos (x) + 1

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

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

slope of 2x+4y=8 slope

2 x + 4 y = 8

inverse of f(x)=-6x-1 inverse

f (x) = - 6 x - 1

intercepts of f(x)=sqrt(x^2-9)intercepts

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

Frequently Asked Questions (FAQ)

What is the extreme (e^x)/(x^2) ?
The extreme (e^x)/(x^2) is Minimum(2,(e^2)/4)