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.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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