Mathematics, 29.10.2019 21:31 alexmoy45p8yd7v
Consider the following function. f(x) = 9 − x2/3 find f(−27) and f(27). f(−27) = f(27) = find all values c in (−27, 27) such that f '(c) = 0. (enter your answers as a comma-separated list. if an answer does not exist, enter dne.) c = based off of this information, what conclusions can be made about rolle's theorem? this contradicts rolle's theorem, since f is differentiable, f(−27) = f(27), and f '(c) = 0 exists, but c is not in (−27, 27). this does not contradict rolle's theorem, since f '(0) = 0, and 0 is in the interval (−27, 27). this contradicts rolle's theorem, since f(−27) = f(27), there should exist a number c in (−27, 27) such that f '(c) = 0. this does not contradict rolle's theorem, since f '(0) does not exist, and so f is not differentiable on (−27, 27). nothing can be concluded.
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Consider the following function. f(x) = 9 − x2/3 find f(−27) and f(27). f(−27) = f(27) = find all va...
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