Calculus 2 (2) Let f(x, y, z) = x²y + y²z. Find the directional derivative of f at the point (1, 2, 3) inthe direction of v 2i +2j + k.

The given function is To find :- The directional derivative of f at a point in the direction

Answered: (2) Let f(x, y, z) = x²y + y²z. Find…

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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(2) Let f(x, y, z) = x²y + y²z. Find the directional derivative of f at the point (1,2,3) in the direction of v= 2i+2j+ k.