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You are trying to obtain an estimate of the derivative of a function and have evaluations at three node locations x 1 = 1, x

You are trying to obtain an estimate of the derivative of a function and have evaluations at three node locations x1 = 1, x2 = 1.5, and x3 = 2. If the values of the function at these locations are y1 = 0, y2 = 1, and y3 = 1.5, what is the best estimate of the derivative at x2?

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