Differentiability implies ___________________
continuity
Differentiability implies the existence of a derivative of a function at a particular point. It means that the function has a well-defined tangent line at that point, and the value of the derivative represents the slope of that tangent line. A function is said to be differentiable at a point if the derivative of the function exists and is finite at that point. If a function is differentiable in an interval, it must be continuous in that interval. Differentiability is a stronger condition than continuity, and the existence of a derivative implies continuity, but the converse is not true in general.
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