Q2) For the following problems, find the directional derivative of the given function at the given point, and in the direction of the given vector. 1. f(x, y) = 2xy- 3y², P. (5,5), A = 4i + 3j 2. f(x, y,z) = 3e* cos(yz), P,(0,0,0), A = 2i +j- 2k 3. f(x, y,z) = 3x2 - 3y2, P,(1,2,3), A = j

Q2) For the following problems, find the directional derivative of the given function at the given point, and in the direction of the given vector. 1. f(x, y) = 2xy- 3y², P. (5,5), A = 4i + 3j 2. f(x, y,z) = 3e* cos(yz), P,(0,0,0), A = 2i +j- 2k 3. f(x, y,z) = 3x2 - 3y2, P,(1,2,3), A = 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.

Chapter4: Calculating The Derivative

Section4.CR: Chapter 4 Review

Problem 34CR

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Question

Q2) For the following problems, find the directional derivative of the
given function at the given point, and in the direction of the given
vector.
1. f(x, y) = 2xy- 3y2, P.(5,5), A = 4i + 3j
2. f(x, y,z) = 3e* cos(yz), P,(0,0,0),.A 2i +j- 2k
3. f(x, y,z) = 3x2 - 3y2, P,(1,2,3), A = j
4. f(x, y, z) = sin(yz) + In x2, P.(1, 1, 7), A = i + 2j –k
%3D
%3D

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