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Popular >

extreme x^2+y^2

Solution

extreme points

x^{2} + y^{2}

Solution

Minimum (0, 0)

Solution steps

Find the critical points:

(0, 0)

\frac{\partial ^{2} f}{\partial x ^{2}} = 2

D (x, y) = 4

Check the sign of at each critical point

Check critical point

(0, 0) :

Minimum

Minimum (0, 0)

Popular Examples

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

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

extreme f(x)=6x^5-40x^3+14 extreme points

f (x) = 6 x^{5} - 40 x^{3} + 14

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

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

extreme f(x)=3x+4y extreme points

f (x) = 3 x + 4 y

extreme f(x)=-2x^2+8x-5 extreme points

f (x) = - 2 x^{2} + 8 x - 5

Frequently Asked Questions (FAQ)

What is the extreme x^2+y^2 ?
The extreme x^2+y^2 is Minimum(0,0)