c) Given a function $(x, y, 2) = 3x² + In (3y² + 1) + e* cos z. i. Find the directional derivative of ø at (0, 1, 7) in the direction of a = 4i – 2j + 4k. ii. Find the minimum directional derivatıve or ø and its uirection at (0, 1, 7).

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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c) Given a function
$(x, y, z) = 3x² + In (3y² + 1) + e" cos z.
i. Find the directional derivative of o at (0, 1, 7) in the direction of
a = 4i – 2j + 4k.
ii. Find the minimum directional derivative or O and its uirection at
(0, 1, x).
Transcribed Image Text:c) Given a function $(x, y, z) = 3x² + In (3y² + 1) + e" cos z. i. Find the directional derivative of o at (0, 1, 7) in the direction of a = 4i – 2j + 4k. ii. Find the minimum directional derivative or O and its uirection at (0, 1, x).
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