Question

What is the practical condition for differentiability at a point?

Options

• \[\text{LHD}\ne\text{RHD}\]

• \[\text{LHD}=\text{RHD}\]

• \[\text{LHD}=0\]

• \[\text{RHD}=0\]

Answer 1

For differentiability, the two one-sided derivatives must agree. This practical condition is \[\text{LHD}=\text{RHD}\].