Question

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

Options

• Neither one-sided derivative is considered.

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

• The right-hand derivative

• The left-hand derivative

Answer 1

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