en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme y=(2e^{3x})/(-3x-1)

Solution

extreme points

y = \frac{2 e ^{3 x}}{- 3 x - 1}

Solution

Maximum (0, - 2)

Solution steps

f^{'} (x) = - \frac{18 e ^{3 x} x}{( - 3 x - 1 ) ^{2}}

Find intervals:

Increasing

: - \infty < x < - \frac{1}{3},

Increasing

: - \frac{1}{3} < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = 0

into

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

Maximum (0, - 2)

Popular Examples

extreme f(x)=6x^4+11x^3-x^2+x extreme points

f (x) = 6 x^{4} + 11 x^{3} - x^{2} + x

extreme f(x)=-25x^2-20y^2+300x+480y+200 extreme points

f (x) = - 25 x^{2} - 20 y^{2} + 300 x + 480 y + 200

extreme 24x^3-3x^4-x^3(24-3x)extreme points

24 x^{3} - 3 x^{4} - x^{3} (24 - 3 x)

extreme y=9x+9sin(x),0<= x<= 2pi extreme points

y = 9 x + 9 sin (x), 0 \leq x \leq 2 π

extreme f(x)=5x^2-10x+2 extreme points

f (x) = 5 x^{2} - 10 x + 2

Frequently Asked Questions (FAQ)

What is the extreme y=(2e^{3x})/(-3x-1) ?
The extreme y=(2e^{3x})/(-3x-1) is Maximum(0,-2)