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• 02:11, 18 February 2022 Wikiadmin talk contribs created page Conditions for differentiability (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...")