if you trout enough values into the program above, you might be able to guess of figure out the formula for the function. Even if you do, you are not going to use that formula in this activity. Further below, with your study group, you are going to use any data you manage to get from the above program to estimate the derivative of the function at x = 2. Before doing that, take a moment to explore differentiation in the Headquarters, and share some thoughts with the whole class on these two questions: . We don't have a formula or a graph for the function f(). In that context, what does the derivate of the function at c = 2 mean? If someone came up with an estimate of f' (2), how do you interpret this value? . Based on the meaning of the derivative, how do you think we can use the above program to give a fairly reliable estimate of f' (2)? Don't actually go ahead and estimate it, just share your thoughts on how we could tackle the problem. Share your thoughts below. Remember - even if you happen to come up with a good guess for the formula for f(), you won't be allowed to use it in the group activity. So that should not feature in the thoughts you share now