Differentiability implies ___________________
continuity
Differentiability implies that a function is continuous and has a well-defined derivative at each point in its domain. In other words, if a function is differentiable at a point, it means that the function is smooth and has a well-behaved tangent line at that point. It is important to note that not all functions are differentiable at every point in their domain, as there are certain conditions and requirements that must be met. For example, a function must be continuous at a point in order to be differentiable at that point. Additionally, a function must have a derivative that exists and is finite at that point in order to be considered differentiable.
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