en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=x-5ln(x)

Solution

extreme points

f (x) = x - 5 ln (x)

Solution

Minimum (5, 5 - 5 ln (5))

Solution steps

f^{'} (x) = 1 - \frac{5}{x}

Find intervals:

Decreasing

: 0 < x < 5,

Increasing

: 5 < x < \infty

Plug

x = 5

into

x - 5 ln (x) : 5 - 5 ln (5)

Minimum (5, 5 - 5 ln (5))

Popular Examples

extreme f(x)=4cos(3x)+5 extreme points

f (x) = 4 cos (3 x) + 5

extreme f(x)=5sin(3x)-5 extreme points

f (x) = 5 sin (3 x) - 5

extreme (x^2-x-6)/(x^2-7x+10)extreme points

\frac{x ^{2} - x - 6}{x ^{2} - 7 x + 10}

extreme f(x,y)=y^3+6x^2y-6x^2-6y^2+3 extreme points

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

extreme 1-x^3 extreme points

1 - x^{3}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x-5ln(x) ?
The extreme f(x)=x-5ln(x) is Minimum(5,5-5ln(5))