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Popular >

extreme-x^2-x+3

Solution

extreme points

- x^{2} - x + 3

Solution

Maximum (- \frac{1}{2}, \frac{13}{4})

Solution steps

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

Find intervals:

Increasing

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

Decreasing

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

Plug

x = - \frac{1}{2}

into

- x^{2} - x + 3 : \frac{13}{4}

Maximum (- \frac{1}{2}, \frac{13}{4})

Graph

Popular Examples

extreme f(x)=x^4-12x^2-3x+2 extreme points

f (x) = x^{4} - 12 x^{2} - 3 x + 2

extreme f(x)=x(-0.0002x+3.5)-2500 extreme points

f (x) = x (- 0.0002 x + 3.5) - 2500

extreme f(x,y)=60x+6y+12xy-3x^2-6y^2+100 extreme points

f (x, y) = 60 x + 6 y + 12 x y - 3 x^{2} - 6 y^{2} + 100

extreme f(x)=x^2+6x+11 extreme points

f (x) = x^{2} + 6 x + 11

extreme f(x)=x^2+6x+17 extreme points

f (x) = x^{2} + 6 x + 17

Frequently Asked Questions (FAQ)

What is the extreme-x^2-x+3 ?
The extreme-x^2-x+3 is Maximum(-1/2 , 13/4)