4. Given f(x, y, z) = 4x² +16y-3z³ (a) Find the directional derivative df ds at point (1,2,3) along the 11+1+1k direction. (b) Find the maximum directional derivative df ds max and its direction.
4. Given f(x, y, z) = 4x² +16y-3z³ (a) Find the directional derivative df ds at point (1,2,3) along the 11+1+1k direction. (b) Find the maximum directional derivative df ds max and its direction.
Chapter6: Deflections Of Beams: Geometric Methods
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:4. Given f(x, y, z) = 4x² +16y-3z³
(a) Find the directional derivative
df
ds
at point (1,2,3) along the 11+1+1k direction.
(b) Find the maximum directional derivative
df
ds
max
and its direction.
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