Question

Can we say Differential function is also Continious ? with eg​

Answer 1

$\blue{\bold{\underline{\underline{Answer:-}}}}$

In particular, any differentiable function must be continuous at every point in its domain. The converse does not hold: a continuous function need not be differentiable.

$\blue{\bold{\underline{\underline{Example:-}}}}$

For example, a function with a bend, cusp, or vertical tangent may be continuous, but fails to be differentiable at the location of the anomaly.

Answer 2

Answer:

In particular, any differentiable function must be continuous at every point in its domain. The converse does not hold: a continuous function need not be differentiable. For example, a function with a bend, cusp, or vertical tangent may be continuous, but fails to be differentiable at the location of the anomaly.