3: For the surface f(x,y, z) = tan(xy + xz + yz), find: (1) the gradient of f; (2) the directional đerivative %3D at (0,1,0) in the direction of ü = i- 2j +2k; (3) the max. and min. directional derivative and their directions; (4) the parametric equation of the tangent plane and the normal line to the surface at (0,1,0). 2,2

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Q3: For the surface f(x, y, z) = tan(xy+ xz + yz), find: (1) the gradient of f; (2) the directional derivative
%3D
at (0,1,0) in the direction ofü = i- 2j + 2k; (3) the max. and min. directional derivative and their
directions; (4) the parametric equation of the tangent plane and the normal line to the surface at (0,1,0).
e noints
f(x )
Transcribed Image Text:Q3: For the surface f(x, y, z) = tan(xy+ xz + yz), find: (1) the gradient of f; (2) the directional derivative %3D at (0,1,0) in the direction ofü = i- 2j + 2k; (3) the max. and min. directional derivative and their directions; (4) the parametric equation of the tangent plane and the normal line to the surface at (0,1,0). e noints f(x )
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