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Popular >

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

Solution

extreme points

f (x) = ln (x) - x

Solution

Maximum (1, - 1)

Solution steps

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

Find intervals:

Increasing

: 0 < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = 1

into

ln (x) - x : - 1

Maximum (1, - 1)

Popular Examples

extreme f(x)=(4x)/(x^2+25)extreme points

f (x) = \frac{4 x}{x ^{2} + 25}

extreme f(x,y)=14x^2-2x^3+2y^2+4xy extreme points

f (x, y) = 14 x^{2} - 2 x^{3} + 2 y^{2} + 4 x y

extreme y=x^2-3x extreme points

y = x^{2} - 3 x

extreme f(x,y)=x^2+y^4+2xy extreme points

f (x, y) = x^{2} + y^{4} + 2 x y

extreme y= 1/3 x^3-4x-1 extreme points

y = \frac{1}{3} x^{3} - 4 x - 1

Frequently Asked Questions (FAQ)

What is the extreme f(x)=ln(x)-x ?
The extreme f(x)=ln(x)-x is Maximum(1,-1)