Let f !x" ! x 2(a) Estimate the values of , , , and by using a graphing device to zoom

Chapter 3, Problem 3.1.17

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Let f !x" ! x 2(a) Estimate the values of , , , and by using a graphing device to zoom in on the graph of f. (b) Use symmetry to deduce the values of , , and . (c) Use the results from parts (a) and (b) to guess a formula for . (d) Use the definition of a derivative to prove that your guess in part (c) is correct.

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