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3. Given the function f(x, y, z) = In(x² + y² – 42²), find the directional derivative f, in the point (1, 2, 1) (a) in the direction v = 1 (b) in the direction of steepest ascent.

3. Given the function f(x, y, z) = In(x² + y² – 42²), find the directional derivative f, in the point (1, 2, 1) (a) in the direction v = 1 (b) in the direction of steepest ascent.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3. Given the function f(x, y, z) = In(x² + y² – 42²), find the directional derivative f, in the point (1, 2, 1) (a) in the direction v = 1 (b) in the direction of steepest ascent.
Transcribed Image Text:3. Given the function f(x, y, z) = In(x² + y² – 42²), find the directional derivative f, in the point (1, 2, 1) (a) in the direction v = 1 (b) in the direction of steepest ascent.
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