# Difference between revisions of "Discontinuous derivative"

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Consider the function | Consider the function | ||

+ | :<math> f: \mathbb{R} \to \mathbb{R}, x \mapsto | ||

+ | \begin{cases} | ||

+ | x^2*sin(1/x),& x\neq 0\\ | ||

+ | 0, x=0 | ||

+ | \end{cases} | ||

+ | </math> | ||

<jsxgraph width="500" height="500"> | <jsxgraph width="500" height="500"> |

## Revision as of 10:55, 13 February 2019

Consider the function

- [math] f: \mathbb{R} \to \mathbb{R}, x \mapsto \begin{cases} x^2*sin(1/x),& x\neq 0\\ 0, x=0 \end{cases} [/math]