Final answer:
The derivative of the constant function f(x) = 2 is zero, regardless of the value of x, and thus f'(-9) is also zero.
Step-by-step explanation:
The function f(x) = 2 is a constant function, which means its value does not change regardless of the input value x. The derivative of a constant function is always zero because a constant does not change at any rate, hence there is no slope or change to be measured. To find the derivative, we use the fact that if f(x) is a constant k, then f'(x) = 0. In this case, since the function is simply 2, the derivative f'(x) at any point, including x = -9, is 0.