What the order of accuracy of this operator

Reference no: EM13560462

You are given five data points, yi = f(xi), where i ranges from -2 to 2, and where xi+1 ? xi = ?x is a constant. You are interested in computing the first and second derivative of f at x0. However, suppose that you misplace the data points from x0 and x2, so all you have to work with are the points y?2 = f(x?2), y?1 = f(x?1), and y1 = f(x1). (Show your work clearly throughout this problem.)(a) Construct the most accurate operator possible for estimating the first derivative, f(x0),using the three data points. What’s the order of accuracy of this operator?(b) Construct an operator for determining f(x0) using the three points. What’s the order of accuracy of this operator?

Reference no: EM13560462

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