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Popular >

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

Solution

extreme points

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

Solution

Minimum (3, - \frac{1}{e ^{3}})

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 3,

Increasing

: 3 < x < \infty

Plug

x = 3

into

\frac{2 - x}{e ^{x}} : - \frac{1}{e ^{3}}

Minimum (3, - \frac{1}{e ^{3}})

Popular Examples

extreme f(x)=13x^3+138x^2-103 extreme points

f (x) = 13 x^{3} + 138 x^{2} - 103

extreme f(x)=x^3+6x^2-36x extreme points

f (x) = x^{3} + 6 x^{2} - 36 x

extreme f(x)=x^2+8x+10 extreme points

f (x) = x^{2} + 8 x + 10

roots 16LW roots

16 L W

extreme x+(16)/x extreme points

x + \frac{16}{x}

Frequently Asked Questions (FAQ)

What is the extreme (2-x)/(e^x) ?
The extreme (2-x)/(e^x) is Minimum(3,-1/(e^3))