Differentiability: Difference between revisions
From JSXGraph Wiki
A WASSERMANN (talk | contribs) No edit summary |
A WASSERMANN (talk | contribs) No edit summary |
||
| Line 1: | Line 1: | ||
If the function <math>f: D \to | If the function <math>f: D \to R</math> is differentiable in <math>x_0\in D</math> then there is a function | ||
<math>f_1: D \to R</math> that is continuous in <math>x_0</math> such that | |||
:<math> f(x) = f(x_0) + (x-x_0) f_1(x) </math> | |||
<html> | <html> | ||
<script type="text/javascript" src="/distrib/MathJax/MathJax.js"></script> | <script type="text/javascript" src="/distrib/MathJax/MathJax.js"></script> | ||
Revision as of 19:25, 22 January 2019
If the function [math]\displaystyle{ f: D \to R }[/math] is differentiable in [math]\displaystyle{ x_0\in D }[/math] then there is a function [math]\displaystyle{ f_1: D \to R }[/math] that is continuous in [math]\displaystyle{ x_0 }[/math] such that
- [math]\displaystyle{ f(x) = f(x_0) + (x-x_0) f_1(x) }[/math]
