What is the critical f(x,y)=1+4x+4y^3-x^4-y^4 ?

The critical f(x,y)=1+4x+4y^3-x^4-y^4 is (1,0),(1,3)

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critical f(x,y)=1+4x+4y^3-x^4-y^4

critical points

f (x, y) = 1 + 4 x + 4 y^{3} - x^{4} - y^{4}

(1, 0), (1, 3)

Solution steps

1 + 4 x + 4 y^{3} - x^{4} - y^{4}

Find where

\nabla f (x, y)

is equal to zero or undefined

(1, 0), (1, 3)

f (x) = 3 x^{3} - 9 x

f (x) = 3 x + \frac{1}{2} sin (6 x)

f (x) = \frac{1}{3} x^{3} + \frac{3}{2} x^{2} - 18 x

y = 2 x^{3} + 3 x^{2} - 36 x

\frac{- x ^{2} - 9}{( x ^{2} - 9 ) ^{2}}

What is the critical f(x,y)=1+4x+4y^3-x^4-y^4 ?
The critical f(x,y)=1+4x+4y^3-x^4-y^4 is (1,0),(1,3)