What is the extreme f(x)=x^7e^{-x} ?

The extreme f(x)=x^7e^{-x} is Saddle(0,0),Maximum(7,(823543)/(e^7))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=x^7e^{-x}

extreme points

f (x) = x^{7} e^{- x}

Saddle (0, 0), Maximum (7, \frac{823543}{e ^{7}})

Solution steps

f^{'} (x) = e^{- x} x^{6} (7 - x)

Find intervals:

Increasing

: - \infty < x < 0,

Increasing

: 0 < x < 7,

Decreasing

: 7 < x < \infty

Plug

x = 0

into

x^{7} e^{- x} : 0

Saddle (0, 0)

Plug

x = 7

into

x^{7} e^{- x} : \frac{823543}{e ^{7}}

Maximum (7, \frac{823543}{e ^{7}})

Saddle (0, 0), Maximum (7, \frac{823543}{e ^{7}})

f (x) = x^{3} - 5 x^{2} + 3 x + 12, - 2 \leq x \leq 4

f (x) = x - sin (2 x)

110 t^{2} e^{- 1.2 t}

f (x) = - x^{3} + 6 x^{2} + x - 1

\frac{3 x ^{2}}{x ^{2} - 4}

What is the extreme f(x)=x^7e^{-x} ?
The extreme f(x)=x^7e^{-x} is Saddle(0,0),Maximum(7,(823543)/(e^7))