Concept explainers
Let f(x) = x3.
(a) Estimate the values of f'(0),
(b) Use symmetry to deduce the values of
(c) Use the values from parts (a) and (b) to graph f'
(d) Guess a formula for f'(x).
(e) Use the definition of derivative to prove that your guess in part (d) is correct.
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Single Variable Calculus: Early Transcendentals, Volume I
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