Step-by-step explanation:
You don't need to actually calculate the value. The idea is to understand what each option represents.
Q"(4) is the second derivative of Q(t) at t=4.
Q'(4) is the first derivative (instantaneous rate of change) of Q(t) at t=4.
(Q(4) − Q(0)) / (4 − 0) is the average rate of change of Q(t) between t=0 and t=4.
Q(4) is the value of Q(t) at t=4.
We want to find the instantaneous rate of change, so Q'(4) is the right answer.
