en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme e^{8x}(3-x)

Solution

extreme points

e^{8 x} (3 - x)

Solution

Maximum (\frac{23}{8}, \frac{e ^{23}}{8})

Solution steps

f^{'} (x) = e^{8 x} (- 8 x + 23)

Find intervals:

Increasing

: - \infty < x < \frac{23}{8},

Decreasing

: \frac{23}{8} < x < \infty

Plug

x = \frac{23}{8}

into

e^{8 x} (3 - x) : \frac{e ^{23}}{8}

Maximum (\frac{23}{8}, \frac{e ^{23}}{8})

Popular Examples

shift f(x)=-4sin(4x+pi)shift

f (x) = - 4 sin (4 x + π)

domain of f(x)=(x-3)^2+2 domain

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

inverse of f(x)=\sqrt[5]{x-8}+3 inverse

domain of f(x)=sqrt(1-2^x)domain

f (x) = 1 - 2^{x}

inverse of \sqrt[3]{(2x)/(x+1)}inverse

Frequently Asked Questions (FAQ)

What is the extreme e^{8x}(3-x) ?
The extreme e^{8x}(3-x) is Maximum(23/8 ,(e^{23})/8)