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Popular >

extreme f(x)=x^2-x+3

Solution

extreme points

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

Solution

Minimum (\frac{1}{2}, \frac{11}{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 + 3 : \frac{11}{4}

Minimum (\frac{1}{2}, \frac{11}{4})

Popular Examples

domain of f(x)=5x-4 domain

f (x) = 5 x - 4

domain of f(x)= 2/3 x^2 domain

f (x) = \frac{2}{3} x^{2}

slope of y+1=3(x-4)slope

y + 1 = 3 (x - 4)

range of (x+6)^2 range

(x + 6)^{2}

domain of f(x)= 1/(5x)+1 domain

f (x) = \frac{1}{5 x} + 1

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^2-x+3 ?
The extreme f(x)=x^2-x+3 is Minimum(1/2 , 11/4)