Let fsxd x 3 . (a) Estimate the values of f9s0d, f9( 1 2), f9s1d, f9s2d, and f9s3d by
Chapter 3, Problem 20(choose chapter or problem)
Let fsxd x 3 . (a) Estimate the values of f9s0d, f9( 1 2), f9s1d, f9s2d, and f9s3d by using a graphing device to zoom in on the graph of f. (b) Use symmetry to deduce the values of f9(21 2 ), f9s21d, f9s22d, and f9s23d. (c) Use the values from parts (a) and (b) to graph f9. (d) Guess a formula for f9sxd. (e) Use the definition of a derivative to prove that your guess in part (d) is correct.
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