Find the directional derivative of f(x,y)=sin(2x−2y) at the point (π/2,π/6)in the direction of the vector v=√3i-j. What is the maximum rate of change of f(x,y) at (π/2,π/6)(?  Justify your answer !

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 37CR
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Find the directional derivative of f(x,y)=sin(2x−2y) at the point (π/2,π/6)in the direction of the vector v=√3i-j. What is the maximum rate of change of f(x,y) at (π/2,π/6)(?  Justify your answer !

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ISBN:
9780321964038
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Pearson Addison Wesley,