Consider the following theorem.If f is a differentiable function of x and y, then the directional derivative of f in the direction of the unit vector u = cos(8)i + sin(6)j is D„f(x, y) = fx(x, y) cos(0) + f¸(x, y) sin(0).Use the theorem to find the directional derivative of the function at P in the direction of PQ.f(x, y) =ety sin(x), P(0, 0), Q(3, 1)

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Answered: Consider the following theorem. If f is…

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.

Chapter9: Multivariable Calculus

Section9.2: Partial Derivatives

Problem 48E

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