Relation Between Continuity And Differentiability
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]
