For the function $\small {y = 2x^{2}}$:

(a) Find the average rate of change of $\small {y}$ with respect to $\small {x}$ over the interval $\small {[3,4]}$.

(b) Find the instantaneous rate of change of $\small{y}$ with respect to $\small{x}$ at the value $\small{x = 3}$.

 Average Rate of Change : Instantaneous Rate of Change at $\small{x = 3 :}$

You can earn partial credit on this problem.