Consider the following function. Find the following derivatives. fx(x, y) = 2x+y fy(x, y) fxx(x, y) fxy(x, y) fyy(x, y) = (x, y) = = f(x, y) = x² + xy + y² + 4y = x + 2y + 4 2 1 2 Find the critical point. 4 8 - ( 1¹ - $ 3' 3 Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to use a calculator or computer to graph the function with a domain and viewpoint that reveals all the important aspects of the function. (Enter your answers as comma- separated lists. If an answer does not exist, enter DNE.) local maximum value(s) DNE local minimum value(s) saddle point(s) (x, y) -5.33 DNE X

Consider the following function. Find the following derivatives. fx(x, y) = 2x+y fy(x, y) fxx(x, y) fxy(x, y) fyy(x, y) = (x, y) = = f(x, y) = x² + xy + y² + 4y = x + 2y + 4 2 1 2 Find the critical point. 4 8 - ( 1¹ - $ 3' 3 Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to use a calculator or computer to graph the function with a domain and viewpoint that reveals all the important aspects of the function. (Enter your answers as comma- separated lists. If an answer does not exist, enter DNE.) local maximum value(s) DNE local minimum value(s) saddle point(s) (x, y) -5.33 DNE X

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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