- #1

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## Homework Statement

Find the critical points of

x

^{3}+ y

^{3}+ 3x

^{2}+ 6y

^{2}- 9x + 9y +1

you do not need to define the critical points

## Homework Equations

## The Attempt at a Solution

i have

df/dx = 3x

^{2}+ 6x - 9 and when i solve this x = -3, 1

but i dont know what the corresponding y values are

df dy = 3y

^{2}+ 12y + 9 and so y = -3, -1

and here i dont know what the corresponding x values are