3.1-3.2 Using Derivatives to Identify Extreme Values 70 6. Consider the function f(x) = 415 - 2501x3 + 2500x on the interval Graph of f(x) [0, 60]. (a) Use the fact that f'(x) = (x-50)(x +50) (x - 1)(x + 1) to find 10 20 30 40 50 60 the r and y coordinate of all local maxima and local minima of f on the interval [0, 60]. (b) Explain why the local minimum of f is visible on the graph to the right, but the local maximum of f is not visible