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Popular >

extreme x^2-x-ln(x)

Solution

extreme points

x^{2} - x - ln (x)

Solution

Minimum (1, 0)

Solution steps

f^{'} (x) = 2 x - 1 - \frac{1}{x}

Find intervals:

Decreasing

: 0 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = 1

into

x^{2} - x - ln (x) : 0

Minimum (1, 0)

Popular Examples

extreme x^2+8/x extreme points

x^{2} + \frac{8}{x}

extreme f(x)=3x_{2}+4x-2 extreme points

f (x) = 3 x_{2} + 4 x - 2

extreme f(x)=x^3-9x^2+7x-6 extreme points

f (x) = x^{3} - 9 x^{2} + 7 x - 6

extreme f(x,y)=sqrt(x+y-4)extreme points

f (x, y) = x + y - 4

extreme f(x)=3x^2+2x+1 extreme points

f (x) = 3 x^{2} + 2 x + 1

Frequently Asked Questions (FAQ)

What is the extreme x^2-x-ln(x) ?
The extreme x^2-x-ln(x) is Minimum(1,0)