Let f(x, y, 2) = cos(ryz) Find the directional derivative of f at the point (,, 7) in the (a) direction of the vector u = i+j+ v7k. (b) Among all unit vectors u, what is the largest possible value of Duf(j, 을, 찌)?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let f(x, y, z) = cos(ryz)
Find the directional derivative of f at the point (,, 7) in the
(a)
direction of the vector u = i+j+ v7k.
(b)
Duf(, }, 7)?
Among all unit vectors u, what is the largest possible value of
Transcribed Image Text:Let f(x, y, z) = cos(ryz) Find the directional derivative of f at the point (,, 7) in the (a) direction of the vector u = i+j+ v7k. (b) Duf(, }, 7)? Among all unit vectors u, what is the largest possible value of
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