Vanshika posted an Question
May 31, 2020 • 22:05 pm 30 points
  • IIT JAM
  • Physics (PH)

What is the directional derivative of = x²y + xz at (1, 2, -1) in the direction a =2i-2j+k.

What is the directional derivative of = x²y + xz at (1, 2, -1) in the direction A =2i-2j+k.

3 Answer(s) Answer Now
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  • comment-profile-img>
    Ruby negi best-answer

    gradient of any surface is perpendicular to the surface...

    cropped-1383327203.jpg
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    see the attached solution .

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    for any doubt, you can ask.

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    I hope you know how to do gradient....

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    must ask your doubts...

  • comment-profile-img>
    Dhairya sharma

    dear , most important thing for directional derivative is that......we have to find grad of the function because it's always perpendicular to a given surface. when we want out it in some other direction then we have to take it's dot product with that direction.see my attached solution

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    did u get the concept dear

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    yes mam

  • comment-profile-img>
    Dhairya sharma Best Answer

    see attached dear

    cropped3987580076858421747.jpg
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    dear gradient is perpendicular to surface or in the direction of normal.

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    hope this will help you

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    dear if u have any doubt plz ask

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    will happy to help u

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    I have no doubts....thank you

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