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Popular Functions >

extreme f(x)=x^2-x

Solution

extreme points

f (x) = 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 a^3y=x^3(4a-3x)extreme points

a^{3} y = x^{3} (4 a - 3 x)

extreme f(x)=e^{x^2-8x-1}extreme points

f (x) = e^{x^{2} - 8 x - 1}

extreme f(x,y)=sqrt(36-x^2-y^2)extreme points

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

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

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

extreme xsqrt(4-x^2)extreme points

x 4 - x^{2}

Frequently Asked Questions (FAQ)

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