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Popular >

extreme f(x)=x^2-x+9/4

Solution

extreme points

f (x) = x^{2} - x + \frac{9}{4}

Solution

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

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{9}{4} : 2

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

Popular Examples

extreme f(x)=(12)/(6-x)-x/3+8 extreme points

f (x) = \frac{12}{6 - x} - \frac{x}{3} + 8

extreme y=-2x^2+12x-8 extreme points

y = - 2 x^{2} + 12 x - 8

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

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

extreme f(x,y)=ln(4x^2+9y^2-36)extreme points

f (x, y) = ln (4 x^{2} + 9 y^{2} - 36)

extreme x^3-x^2-x+2 extreme points

x^{3} - x^{2} - x + 2

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^2-x+9/4 ?
The extreme f(x)=x^2-x+9/4 is Minimum(1/2 ,2)