Shwet Goyal posted an Question
October 27, 2021 • 13:53 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Tell me only whether it is differentiable or not.

37 Let f: R< > R be given by fxy) = }Vx* + y siny-/x) ifx#0, if x = 0. Consider the following statements: P: fis continuous at (0,0) but fis NOT differentiable at (0,0). Q: The directional derivative Duf(0,0) of f at (0,0) exists in the directiono every unit vector u ERZ. Then (A) | both P and Q are TRUE (B) P is TRUE and Q is FALSE (C)Pis FALSE and Qis TRUE D)both P and Q are FALSE

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