Consider w = F(x,y,z) = x2 + yz3 Find the equation of the tangent when x= 3, y = 2, z = 1.  At (3,2,1), in what direction is w increasing most rapidly?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Consider w = F(x,y,z) = x2 + yz3

  1. Find the equation of the tangent when x= 3, y = 2, z = 1. 
  2. At (3,2,1), in what direction is w increasing most rapidly?
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