#continuity and differentiability 2 variables functions

4 messages · Page 1 of 1 (latest)

serene storm
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Hello i dont understand my professor answer i did the problem differently but i dont know if its rigouruous enough. The yellowish photo is my prof answer i dont understand how she can détermine the radius

round zenithBOT
serene storm
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She choose a radius r and un in the ball with origin (a,b) and radius r the partial derivative are 0 so they’re continuous => f is differentiable => f is continuous. I dont understand how she chooses her radius

serene storm
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Help please🫠