Show full answers and steps to this exercise 6. Let f(x, y) = sin(x + y). Answer the following questions.(a)) Find the gradient f(x, y).(b)(1, -1).(c) (Find the directional derivative of f(x, y) in the direction of u = (3, 4) atFind the maximum rate of change of f(x, y) at point (1, -1).

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Answered: 6. Let f(x, y) = sin(x + y). Answer the…

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 25E

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6. Let f(x, y) = sin(x + y). Answer the following questions. (a) ) Find the gradient f(x, y). (b) (c) ( (1,-1). Find the directional derivative of f(x, y) in the direction of u = (3, 4) at Find the maximum rate of change of f(x, y) at point (1,-1).