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Taylor Approximation of a Derivative

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Let f be a twice-differentiable function such that f(4.9) = 12.09 and f(5.0) = 12.00. If f''(5) = -2, which of the following is the best approximation for f'(5)?

A

-0.95

B

-1.10

C

-0.90

D

-1.00

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