Wednesday, 19 June 2019

analysis - Does specific function exist?




Check if exists function f(x,y):R2>R such that f(x,y) has directional derivatives in point (0,0) in each direction and (0,0) is point of discontinuity.


Answer



Put f equal to zero everywhere but on the curve y=x2, where it is 1. Try to fill in the details.



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