ASU Calculus Relative Maximum or Saddle Point Worksheet

Overview

Given a function: 𝑓𝑓(𝑥𝑥, 𝑦𝑦) = −3𝑥^2 + 3𝑦^2−2𝑦^3 + 6𝑥𝑦, Determine the following:

a) Find the critical points, (x, y) of the function, 𝑓𝑓.

b) Classify the critical points found in part (a) as Relative Minimum, Relative Maximum or Saddle point. (Hint: Use the Second Derivative Test.)