Q2: A. For the surface f derivative at (1,1 derivative and the line to the surface

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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Q2: A. For the surface f(x, y, z) = tan (xyz), find: (1) the gradient of f (1,1,2); (2) the directional
derivative at (1,1,2) in the direction of = i- 2j + 2k; (3) the max. and min. directional
derivative and their directions; (4) the parametric equation
plane and the normal
of the tangent
line to the surface at (1,1,2).
PQ PR
Transcribed Image Text:Q2: A. For the surface f(x, y, z) = tan (xyz), find: (1) the gradient of f (1,1,2); (2) the directional derivative at (1,1,2) in the direction of = i- 2j + 2k; (3) the max. and min. directional derivative and their directions; (4) the parametric equation plane and the normal of the tangent line to the surface at (1,1,2). PQ PR
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