What is the critical f(x,y)=x^3y+3x^2-y ?

The critical f(x,y)=x^3y+3x^2-y is (1,-2)

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critical f(x,y)=x^3y+3x^2-y

critical points

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

(1, - 2)

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

(1, - 2)

f (x) = 3 x^{4} - 4 x^{3} - 12 x^{2} + 5

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

x^{2} - 4 x + 5

f (x) = 16 - x^{2}

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

What is the critical f(x,y)=x^3y+3x^2-y ?
The critical f(x,y)=x^3y+3x^2-y is (1,-2)