3. (4 points) Find the absolute maximum value and absolute minimum value of $f(x, y) = x^3 - 3xy^2$ on the disk $x^2 + y^2 \le 16$.
Added by Juan Carlos R.
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To do this, we need to find where the partial derivatives of f with respect to x and y are equal to zero. ∂f/∂x = 0 This implies that there are no critical points with respect to x. ∂f/∂y = -6y = 0 This implies that y = 0 is a critical point. Show more…
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