Relation Between Continuity And Differentiability

graph TB A[Continuity] --> B[Differentiability] B --> C[If a function is differentiable at a point, it is continuous at that point] B --> D[If a function is differentiable in its domain, it is continuous in its domain] A --> E[If a function is continuous at a point, it does not necessarily mean it is differentiable at that point] A --> F[If a function is continuous in its domain, it does not necessarily mean it is differentiable in its domain]