1. Let $f(x, y) = 3xy - x^3 - y^3$. Find the local maximum and minimum values and saddle point of the function.
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Step 1
First, we need to find the partial derivatives of the function with respect to r and u: $$ \frac{\partial f}{\partial r} = 3v - 1 $$ $$ \frac{\partial f}{\partial u} = 0 $$ Now, we need to find the critical points by setting the partial derivatives equal to Show more…
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