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

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

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

critical points

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

(0, 0), (0, 0), (0, 0)

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0), (0, 0), (0, 0)

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

4 x^{2} + 8 x + 4 y^{2} + 4

f (x) = 0.05 e^{2 x} (x^{2} - 10 x + 19)

f (x) = 3 x^{2} + 6 x - 9

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