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Let f be a multivariable function defined by

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Question;Let f be a multivariable;function defined by f(x, y) = x3y;? x2y2 where x and y are real;numbers. Choose the same point to use as you work to complete parts 1 through 5;1. Explain how to find the direction of maximum increase for f at your;chosen point, showing all required work.;2. Explain how to find the direction;of maximum decrease for f at your chosen point, showing all required;work.;3. Explain how to find the equation;of the tangent plane to f at your chosen point, showing all required;work.;4 Explain how to find the equation;of the normal line to f at your chosen point, showing all required work.;5. Demonstrate that the second;derivative test for local extreme values of f is inconclusive for all;points on the y-axis.Please see attached below

 

Paper#60412 | Written in 18-Jul-2015

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