Answered: 4. Find the gradient of the function…

4. Find the gradient of the function f(x, y) = cos(x² + y²) at the point (3,-4). 5. Find the directional derivative of f(x, y) = x³ — y³ at the point (4,3) in the direction of v = √(i+j)

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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Question

4. Find the gradient of the function f(x, y) = cos(x² + y²) at the point (3,-4).
5. Find the directional derivative of f(x, y) = x³y³ at the point (4,3) in the direction
of v= ✓(i+j)

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