Find the critical point of a 2 variable function

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I have this function:

$f(x,y)=4x^3+2xy^2-x^2+4y^2$

The partial derivative of x and y are:

$\dfrac{\partial f}{\partial x}=12x^2+2y^2-2x$

$\dfrac{\partial f}{\partial y}=4xy+8y$

They ask me to find the critical points of that function but i can't figure it out.

Thank you for the help.