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Popular >

extreme x^2-x

Solution

extreme points

x^{2} - x

Solution

Minimum (\frac{1}{2}, - \frac{1}{4})

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < \frac{1}{2},

Increasing

: \frac{1}{2} < x < \infty

Plug

x = \frac{1}{2}

into

x^{2} - x : - \frac{1}{4}

Minimum (\frac{1}{2}, - \frac{1}{4})

Graph

Popular Examples

extreme f(x)=x^{4/3}(7x^2+10x-210)extreme points

f (x) = x^{\frac{4}{3}} (7 x^{2} + 10 x - 210)

extreme x^3-6xy+y^3 extreme points

x^{3} - 6 x y + y^{3}

extreme f(x)=(5-x)/(2x+6)extreme points

f (x) = \frac{5 - x}{2 x + 6}

extreme f(x)=x-\sqrt[3]{x},-1<= x<= 6 extreme points

f (x) = x - 3 x, - 1 \leq x \leq 6

extreme f(x,y)=5x^2-4xy+2y^2-36x extreme points

f (x, y) = 5 x^{2} - 4 x y + 2 y^{2} - 36 x

Frequently Asked Questions (FAQ)

What is the extreme x^2-x ?
The extreme x^2-x is Minimum(1/2 ,-1/4)