AP Calculus AB Quiz
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DIFFERENTIATION: DEFINITION AND FUNDAMENTAL PROPERTIES
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For a differentiable function ff, it is known that f(3.9)=12.2f(3.9) = 12.2, f(4)=12.8f(4) = 12.8, and f(4.1)=13.5f(4.1) = 13.5. Three students compute estimates for f′(4)f'(4). Alice uses the interval [3.9,4][3.9, 4]. Bob uses the interval [4,4.1][4, 4.1]. Charles uses the interval [3.9,4.1][3.9, 4.1]. Which student's computation is generally considered the best estimate?
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