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Popular >

extreme f(x)=(x-9)^2

Solution

extreme points

f (x) = (x - 9)^{2}

Solution

Minimum (9, 0)

Solution steps

f^{'} (x) = 2 (x - 9)

Find intervals:

Decreasing

: - \infty < x < 9,

Increasing

: 9 < x < \infty

Plug

x = 9

into

(x - 9)^{2} : 0

Minimum (9, 0)

Graph

Popular Examples

extreme f(x)=2x^3-3x+1 extreme points

f (x) = 2 x^{3} - 3 x + 1

extreme f(x,y)=3xy-6x-y^2 extreme points

f (x, y) = 3 x y - 6 x - y^{2}

extreme f(x)= 8/(x^2+1)extreme points

f (x) = \frac{8}{x ^{2} + 1}

extreme f(2.52,5.15)=3x^4y^2-18xy extreme points

f (2.52, 5.15) = 3 x^{4} y^{2} - 18 x y

extreme f(x)=-3x^4+20x^3-36x^2+7 extreme points

f (x) = - 3 x^{4} + 20 x^{3} - 36 x^{2} + 7

Frequently Asked Questions (FAQ)

What is the extreme f(x)=(x-9)^2 ?
The extreme f(x)=(x-9)^2 is Minimum(9,0)