Let f(x) = x2. (a) Estimate the values of f (0),f(), f(1), and f(2)by using a graphing
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(a) Estimate the values of f’ (0),f’(½), f’(1), and f’(2)by using a graphing device to zoom in on the graph of f.
(b) Use symmetry to deduce the values of f’ (-1/2), f’ (-1), and f’ (-2).
(c) Use the results from parts (a) and (b) to guess a formula for f’(x)
(d) Use the definition of a derivative to prove that your guess in part (c) is correct.
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a By zooming in we estimate that f0 0 f 1 f1 2 and f2 4 ...View the full answer
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