Sketch $f()=2sin(+\frac{}{6})$ on the interval $\frac{-}{6},\frac{5}{6}.$

a$)$ Find the average rate of change $($to $5$ decimals$)$ of the function from $\frac{}{3}$ to $\frac{2}{3}.$ What does this tell us about the graph?

b$)$ Find the instantaneous rate of change $($to $5$ decimals$)$ of the function at $\frac{2}{3}.$ What does this tell us about the graph?