What is the critical f(x,y)=4xy+x^4+y^4 ?

The critical f(x,y)=4xy+x^4+y^4 is (0,0)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

critical f(x,y)=4xy+x^4+y^4

critical points

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

(0, 0)

Solution steps

4 x y + x^{4} + y^{4}

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0)

f (x, y) = x y + y

x^{4} + 4 x^{3} - 2

f (x) = 2 x^{3} - 9 x^{2} + 12 x + 1

f (x) = x^{3} - 12 x^{2} + 36 x

f (x, y) = - 2 x^{2} - y^{2} + 8 x + 10 y - 5 x y

What is the critical f(x,y)=4xy+x^4+y^4 ?
The critical f(x,y)=4xy+x^4+y^4 is (0,0)