Find the stationary points of this function f(x)=x^3 - 6xy + 3y^2

Can someone please help me with calculus problem? (detailed please)

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- December 12th 2010, 03:31 AMAhplymFind the stationary points.
Find the stationary points of this function f(x)=x^3 - 6xy + 3y^2

Can someone please help me with calculus problem? (detailed please) - December 12th 2010, 04:07 AMProve It
Your function is .

The gradient vector is and the critical points occur when .

.

So and .

From the second equation, .

Substituting into the first gives

.

Therefore, the critical points are and . - December 12th 2010, 04:19 AMAhplym
Thank you so much.