Suppose that I have a function whose graph has many angles (i.e. my function is not derivable). How can I approximate this function with derivable ones?
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2026-03-26 04:50:41.1774500641
How can I approximate a function that is not derivable with derivable ones?
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Take a look at the Chebfun system. It does a very good job of approximating any function by a polynomial (which the Weierstrass theorem tells us is possible, if the function is continous). In particular, this page talks about approximating $|x|$, which is obviously not differentiable at $x=0$