Question

We are given f(x) = 3x2 and f '(x) = 6x. Find the instantaneous rate of change of f(x) at x = 3.

Answer 1

instantaneous rate of change = 18

Explanation:

the instantaneous rate of change at x = 3 is f'(3)

given f(x) = 3x² and f'(x) = 6x , then

f'(3) = 6(3) = 18

instantaneous rate of change of f(x) at x = 3 is 18