Question

How do you do this question on the calculator? I tried to find the derivative at x=4 on my calculator but I didn't get the correct answer as the one on the answer choice. I know how to do it by hand but I need to also know how to do it on calculator.

Answer 1

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.