Relation Between Continuity And Differentiability

Relation between continuity and Differentiability

Continuity
Differentiability
If a function is differentiable at a point, it is continuous at that point
If a function is differentiable in its domain, it is continuous in its domain
If a function is continuous at a point, it does not necessarily mean it is differentiable at that point
If a function is continuous in its domain, it does not necessarily mean it is differentiable in its domain
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