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Popular >

extreme y=x-ln(x)

Solution

extreme points

y = x - ln (x)

Solution

Minimum (1, 1)

Solution steps

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

Find intervals:

Decreasing

: 0 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = 1

into

x - ln (x) : 1

Minimum (1, 1)

Popular Examples

extreme f(x,y)=y^3-x^2+2xy-5y+5 extreme points

f (x, y) = y^{3} - x^{2} + 2 x y - 5 y + 5

extreme y=(x^3+4)/(x^2)extreme points

y = \frac{x ^{3} + 4}{x ^{2}}

extreme f(x)=sqrt(x^2-9)extreme points

f (x) = x^{2} - 9

extreme f(x)=sqrt(x^2-2)extreme points

f (x) = x^{2} - 2

extreme f(x)=sqrt(x^2-4)extreme points

f (x) = x^{2} - 4

Frequently Asked Questions (FAQ)

What is the extreme y=x-ln(x) ?
The extreme y=x-ln(x) is Minimum(1,1)