CSIR NET
Sonika Jain Asked a Question
September 19, 2020 12:53 pmpts 30 pts
  • CSIR NET
  • Mathematical Sciences

Xy 21. let f(x, y)= x *y? if +y 0 0 if x= y = 0 then (a) fx, y) is not continuous at (0, 0) (b) f, and f, exist and continuous at (0, 0) (c) f is differentiable

xy 21. Let f(x, y)= x *y? if +y 0 0 if x= y = 0 Then (A) fx, y) is not continuous at (0, 0) (B) f, and f, exist and continuous at (0, 0) (C) f is differentiable at (0, 0) (D) The directional derivative of f at (0, 0) along (1, 2) exist.
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  • Priyadarshan Choursiya thankyou
    see attachment for direction derivative https://youtu.be/2FlWyTyLxTo all are incorrect
    • cropped7987788657465915036.jpg
    • cropped8815720658611373102.jpg
    • cropped3756156091680535373.jpg
    • cropped7825509080933156735.jpg
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    Sonika Jain
    part of directiona derivative is not clear what is the exact value of DD . you left it somewhere . and one doubt fx is partial derivative of f with respect to f in case of two var...
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  • Deepak singh
    option d is correct, if any doubt then ask
    Likes(0) Reply(0)
  • Deepak singh thankyou
    see attached solution
    • cropped6408708625683091841.jpg
    • cropped6645095074802261969.jpg
    Likes(0) Reply(0)
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