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.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter6: Deflections Of Beams: Geometric Methods
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%

I need detailed help solving this exercise from homework of Engineering Mathematics II.
I do not really understand how to do, please do it step by step, not that long but clear. Thank you!

P.S.: Please do not use AI, thanks!

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.
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.
Expert Solution
steps

Step by step

Solved in 2 steps with 11 images

Blurred answer
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Engineering Fundamentals: An Introduction to Engi…
Engineering Fundamentals: An Introduction to Engi…
Civil Engineering
ISBN:
9781305084766
Author:
Saeed Moaveni
Publisher:
Cengage Learning
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781305081550
Author:
Braja M. Das
Publisher:
Cengage Learning