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Popular Functions >

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

Solution

extreme points

f (x) = - x + ln (x)

Solution

Maximum (1, - 1)

Solution steps

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

Find intervals:

Increasing

: 0 < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = 1

into

- x + ln (x) : - 1

Maximum (1, - 1)

Graph

Popular Examples

domain of f(x)=-(2x)/((x+1)^2(x-1)^2)

d o main f (x) = - \frac{2 x}{( x + 1 ) ^{2} ( x - 1 ) ^{2}}

s l o p e 3 x + 2

domain of f(x)=sqrt(7-x)

d o main f (x) = 7 - x

domain of-x^2+4

d o main - x^{2} + 4

domain of x^2+1/x

d o main x^{2} + \frac{1}{x}

Frequently Asked Questions (FAQ)

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