5) Consider the function f(x) = x3 + y3 – 3xy Find all the critical points of the function. Determine which points will give a local maximum, local minimum, or saddle point. Find the local max and min values and the values at the saddle points as well. Sketch this function on GeoGebra to prove to yourself that you have the correct points. Include a screenshot of the graph from GeoGebra. On the graph, label any extrema or saddle points that you found in part b. Make sure your screenshot is taken from an angle at which you can see what's going on.

5) Consider the function f(x) = x3 + y3 – 3xy Find all the critical points of the function. Determine which points will give a local maximum, local minimum, or saddle point. Find the local max and min values and the values at the saddle points as well. Sketch this function on GeoGebra to prove to yourself that you have the correct points. Include a screenshot of the graph from GeoGebra. On the graph, label any extrema or saddle points that you found in part b. Make sure your screenshot is taken from an angle at which you can see what's going on.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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