From a32312fba0948e51cc3cf63ca27ce126231a699d Mon Sep 17 00:00:00 2001 From: Andrew Lorimer Date: Sun, 28 Apr 2019 12:42:30 +1000 Subject: [PATCH] [methods] conditions for differentiation --- methods/calculus-ref.md | 6 ++++++ 1 file changed, 6 insertions(+) diff --git a/methods/calculus-ref.md b/methods/calculus-ref.md index 5eb48c9..dab682a 100644 --- a/methods/calculus-ref.md +++ b/methods/calculus-ref.md @@ -42,6 +42,12 @@ A function is continuous if $L^-=L^+=f(x)$ for all values of $x$. $$f^\prime(x)=\lim_{h \rightarrow 0}{{f(x+h)-f(x)} \over h}$$ +Not differentiable at: + +- discontinuous points +- sharp point/cusp +- vertical tangents ($\infty$ gradient) + ## Tangents & gradients **Tangent line** - defined by $y=mx+c$ where $m={dy \over dx}$ -- 2.43.2