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re
[methods] conditions for differentiation
author
Andrew Lorimer
<andrew@lorimer.id.au>
Sun, 28 Apr 2019 02:42:30 +0000
(12:42 +1000)
committer
Andrew Lorimer
<andrew@lorimer.id.au>
Sun, 28 Apr 2019 02:42:30 +0000
(12:42 +1000)
methods/calculus-ref.md
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methods/calculus-ref.md
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methods/calculus-ref.md
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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 $m={dy \over dx}$