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Zulip Chat Archive

Stream: Is there code for X?

Topic: continuity of derivative in a different argument


Winston Yin (Oct 03 2022 at 22:35):

Is the following theorem somewhere?

"If f(t,x) is continuously differentiable in x and continuous in t, then the derivative of f in x is continuous in t."

Sebastien Gouezel (Oct 04 2022 at 05:54):

Is that really true? What about f (t, x) = t * sin (x/t^5), for instance?


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