Final answer:
The instantaneous rate of change of k(x) = -6 at x = 11 is 0.
Step-by-step explanation:
The instantaneous rate of change of k(x) = -6 at x = 11 can be found by taking the derivative of k(x) with respect to x and evaluating it at x = 11.
First, we find the derivative of k(x) which is dk(x)/dx = 0. This means that the rate of change of k(x) is constant and equal to 0.
Therefore, the instantaneous rate of change of k(x) = -6 at x = 11 is 0.