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![[Post New]](/templates/default/images/icon_minipost_new.gif) 18 May 2007 23:14:22 IST
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Differentiation is essentially the process of finding the slope of the tangent of a given curve. When we say that a function is differentiable at a point, what we essentially mean is that its curve has a unique tangent at the point specified.
A non differentiable function doesn't have a unique tangent at the point under consideration. For example, consider the graph of |x|. At the origin you can have two tangents. So it isn't differentiable at x = 0. However for all other points it is differentiable.
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