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?
Last updated: Dec 20 2023 at 11:08 UTC