Find the directions in which the function increases and decreases most rapidly at Po. Then find the derivatives of the function in these directions. f(x,y) = x² + xy + y², Po(-3,1) The direction in which the given function f(x,y) = x² + xy + y² increases most rapidly at Po(-3,1) is u = Di+ Dj. (Type exact answers, using radicals as needed.)

Find the directions in which the function increases and decreases most rapidly at Po. Then find the derivatives of the function in these directions. f(x,y) = x² + xy + y², Po(-3,1) The direction in which the given function f(x,y) = x² + xy + y² increases most rapidly at Po(-3,1) is u = Di+ Dj. (Type exact answers, using radicals as needed.)

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.

Chapter4: Calculating The Derivative

Section4.2: Derivatives Of Products And Quotients

Problem 2E

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