Conditions for differentiability for a single variable: Revision history

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  • curprev 02:1102:11, 18 February 2022Wikiadmin talk contribs 2,476 bytes +2,476 Created page with "For a function to be differentiable it has to be continuous. However, being continuous does not imply in differentiability. The graphical way to explain this is to show a function that is continuous but not smooth. The easiest example is <math>f(x) = |x|</math>. At the origin the function is continuous because both sided limits converge to zero. But the tangent line there cannot be defined because if we try to use the tangent line idea we have a problem: a division by ze..."