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Popular >

extreme xln(x/9)-x

Solution

extreme points

x ln (\frac{x}{9}) - x

Solution

Minimum (9, - 9)

Solution steps

f^{'} (x) = ln (\frac{x}{9})

Find intervals:

Decreasing

: 0 < x < 9,

Increasing

: 9 < x < \infty

Plug

x = 9

into

x ln (\frac{x}{9}) - x : - 9

Minimum (9, - 9)

Popular Examples

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

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

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

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

extreme sqrt((x+3)/(x-2))extreme points

\frac{x + 3}{x - 2}

extreme 3/4 2/5 extreme points

\frac{3}{4} \frac{2}{5}

extreme f(x)=3-4x-5x^2[-2.4]extreme points

f (x) = 3 - 4 x - 5 x^{2} [- 2.4]

Frequently Asked Questions (FAQ)

What is the extreme xln(x/9)-x ?
The extreme xln(x/9)-x is Minimum(9,-9)