What is the right-hand derivative of this three-piece f at x = 1?

Explanation

1. 01

   $\lim_{h \to 0^{+}} \frac{f(1 + h) - f(1)}{h} = \lim_{h \to 0^{+}} \frac{3(1 + h) - 1 - 2}{h}$.

2. 02

   $= \lim_{h \to 0^{+}} \frac{3h}{h} = 3$.