Differentiability of a Function Given its Graph

Consider the function:

Its graph is:

The derivative of a function at a point is the slope of the tangent to the function at that point. For this function, the derivative exists at all points x in its domain. But, this is not the case for all functions. There are functions for which derivatives don’t exist at all points in their domains. In this article, we will see three types of points at which a function will not have a …

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