What is the critical f(x,y)=x^3+3xy^2-3y^2-7 ?

The critical f(x,y)=x^3+3xy^2-3y^2-7 is (0,0)

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critical f(x,y)=x^3+3xy^2-3y^2-7

critical points

f (x, y) = x^{3} + 3 x y^{2} - 3 y^{2} - 7

(0, 0)

Solution steps

x^{3} + 3 x y^{2} - 3 y^{2} - 7

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0)

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

f (x) = t^{\frac{3}{4}} - 3 t^{\frac{1}{4}}

f (x) = \frac{1}{3} x^{3} - \frac{5}{2} x^{2} + 4 x

y = x^{3} + 3 x^{2} + b

f (x) = 2 x^{3} - 3 x^{2} - 12 x + 7

What is the critical f(x,y)=x^3+3xy^2-3y^2-7 ?
The critical f(x,y)=x^3+3xy^2-3y^2-7 is (0,0)