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Let $f(x,y)=8x^3+y^3-6x-12y+4$ , how do you determine all critical points?

1 Answer

Apr 23, 2015

Find the first partial derivatives.
Set them equal to $0$ .
Solve the system of equations.

$f_x = 24x^2-6=0$
$f_y = 3y^2-12=0$

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