Find the Directional derivative of the function u

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Homework Help Overview

The discussion revolves around finding the directional derivative of a function \( u \) at a specific point \( m \) in the direction of \( l \). Participants are examining their calculations and interpretations of the derivative expression.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the expression for the directional derivative and evaluate it at a given point. There is uncertainty regarding the evaluation results, with one participant questioning the outcome they obtained compared to another's.

Discussion Status

Some participants have confirmed parts of the calculations as correct, while others express confusion over specific numerical results. The conversation reflects a collaborative effort to clarify the evaluation process without reaching a definitive conclusion.

Contextual Notes

There appears to be a discrepancy in the numerical results obtained during the evaluation of the directional derivative, prompting participants to revisit their calculations. The context suggests that the discussion is framed within a homework assignment, which may impose certain constraints on the approach taken.

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Homework Statement



Hey.
I need to find the Directional derivative of the function u, in the direction l, in the point m (all in the pic).
I'm not sure I did it right, can you please give me the ok?


Homework Equations





The Attempt at a Solution


 

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Up to DLu= (1/3)(2x- z)+ (2/3)cos y+ (2/3)x, everything looks good. Then you evaluate that at [itex](1,\pi/2, -3)[/itex] and get 7/10? That's not what I get.
 
HallsofIvy said:
Up to DLu= (1/3)(2x- z)+ (2/3)cos y+ (2/3)x, everything looks good. Then you evaluate that at [itex](1,\pi/2, -3)[/itex] and get 7/10? That's not what I get.

Oops, got 7/3?
 
Yes, that is correct. I wondered where that "10" came from!
 
HallsofIvy said:
Yes, that is correct. I wondered where that "10" came from!

Broken calculator...:smile:

No, just kidding, it was early in the morning.
 

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