What is the extreme f(x)=x^8e^x-8 ?

The extreme f(x)=x^8e^x-8 is Maximum(-8,(16777216)/(e^8)-8),Minimum(0,-8)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=x^8e^x-8

extreme points

f (x) = x^{8} e^{x} - 8

Maximum (- 8, \frac{16777216}{e ^{8}} - 8), Minimum (0, - 8)

Solution steps

f^{'} (x) = e^{x} x^{8} + 8 e^{x} x^{7}

Find intervals:

Increasing

: - \infty < x < - 8,

Decreasing

: - 8 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - 8

into

x^{8} e^{x} - 8 : \frac{16777216}{e ^{8}} - 8

Maximum (- 8, \frac{16777216}{e ^{8}} - 8)

Plug

x = 0

into

x^{8} e^{x} - 8 : - 8

Minimum (0, - 8)

Maximum (- 8, \frac{16777216}{e ^{8}} - 8), Minimum (0, - 8)

f (x) = e^{2 x + 6}

(1, - 1), (0, 2)

f (x) = \frac{2}{x - 5}

\frac{x ^{2} - 16}{4 - x}

(- 3, - 5), (- 1, - 7)

What is the extreme f(x)=x^8e^x-8 ?
The extreme f(x)=x^8e^x-8 is Maximum(-8,(16777216)/(e^8)-8),Minimum(0,-8)