91- 6303239042
Continuity Does Not Imply Differentiability
For:
$$f(x)=|x|$$
the function is continuous at:
$$x=0$$
but:
$$f'_-(0)\neq f'_+(0)$$
Hence it is not differentiable at $$x=0$$.
Usage
- Used as the standard example showing that continuity is not sufficient for differentiability.
