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Popular Functions >

extreme f(x)=x^2-8x+19

Solution

extreme points

f (x) = x^{2} - 8 x + 19

Solution

Minimum (4, 3)

Solution steps

f^{'} (x) = 2 x - 8

Find intervals:

Decreasing

: - \infty < x < 4,

Increasing

: 4 < x < \infty

Plug

x = 4

into

x^{2} - 8 x + 19 : 3

Minimum (4, 3)

Graph

Popular Examples

extreme f(x)=-0.02x^2+4x-40 extreme points

f (x) = - 0.02 x^{2} + 4 x - 40

extreme f(x,y)=2x^3+y^3+3x^2-3y^2-16 extreme points

f (x, y) = 2 x^{3} + y^{3} + 3 x^{2} - 3 y^{2} - 16

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

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

extreme f(x)=-x^2-x+1 extreme points

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

extreme f(x,y)=5x^2+3xy+10y^2+4xy^2+6x^2y extreme points

f (x, y) = 5 x^{2} + 3 x y + 10 y^{2} + 4 x y^{2} + 6 x^{2} y

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^2-8x+19 ?
The extreme f(x)=x^2-8x+19 is Minimum(4,3)