- #1

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I've been fooling around with this, but I don't really have any good strategies for figuring out how to make this function. Any tips? thank you

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- Thread starter wisvuze
- Start date

- #1

- 371

- 1

I've been fooling around with this, but I don't really have any good strategies for figuring out how to make this function. Any tips? thank you

- #2

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Intuitively, I think something like this could work:

[tex]f(x,y)=\left\{\begin{array}{cc} -e^{1/x^2} &\text{if}~y=x^2\\ 0 &\text{otherwise}\end{array}\right.[/tex]

This isn't continuous everywhere. But I do think that it is differentiable in 0 (because the function [itex]e^{1/x^2}[/itex] is part of a bump function.

Now I guess we should just smooth the function up. I have a feeling it might work.

I'll think of a better example.

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