en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme ln(27+8x^3)

Solution

extreme points

ln (27 + 8 x^{3})

Solution

Saddle (0, 3 ln (3))

Solution steps

f^{'} (x) = \frac{24 x ^{2}}{27 + 8 x ^{3}}

Find intervals:

Increasing

: - \frac{3}{2} < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

ln (27 + 8 x^{3}) : 3 ln (3)

Saddle (0, 3 ln (3))

Graph

Popular Examples

extreme x^3-6x^2-15x+7 extreme points

x^{3} - 6 x^{2} - 15 x + 7

extreme f(x,y)=x^3+y^2-3x+1 extreme points

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

extreme f(x,y)=xy+1/x+8/y extreme points

f (x, y) = x y + \frac{1}{x} + \frac{8}{y}

extreme-3x^{5/3}-15x^{2/3}extreme points

- 3 x^{\frac{5}{3}} - 15 x^{\frac{2}{3}}

extreme x^3-12x+5 extreme points

x^{3} - 12 x + 5

Frequently Asked Questions (FAQ)

What is the extreme ln(27+8x^3) ?
The extreme ln(27+8x^3) is Saddle(0,3ln(3))