Question

For differentiability on a closed interval \[[a,b]\], which derivative is considered at \[b\]?

Options

• The right-hand derivative

• The left-hand derivative

• Both derivatives must be considered beyond \[b\].

• Neither one-sided derivative is considered.

Answer 1

At the right endpoint \[b\] of \[[a,b]\], values in the interval lie to the left. Therefore, the left-hand derivative is considered at \[b\].