Definition:Right-Hand Derivative

Definition
Let $B$ be a Banach space over $\R$.

Let $f : \R \to B$ be a function.

The right-hand derivative of $f$ is defined as the right-hand limit:
 * $\displaystyle f'_{+}\left({x}\right) = \lim_{h \to 0^{+}} \frac { f\left({x + h}\right) - f\left({x}\right) } {h}$

If the left-hand derivative exists, then $f$ is said to be right-hand differentiable at $x$.

Also see

 * Derivative
 * Left-Hand Derivative