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Write a Matlab script to obtain the first derivative estimates of the following unequally spaced data: In fact, the data belongs to f(x)=5x2x. Compare numerical

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Write a Matlab script to obtain the first derivative estimates of the following unequally spaced data: In fact, the data belongs to f(x)=5x2x. Compare numerical and analytical derivatives by plotting them on the same graph. Algorithm: Step 1: Enter data points Step 2: Calculate derivative for each point using 2nd order Lagrange polynomial (see the formula below). Step 3: Calculate the analytical derivatives for each point. Step 4: Compare the results by plot the numerical and analytical derivatives on the same graph (do not forget to include labels and the legend) Formula for 2nd order Lagrange polynomial: f(x)=f(xi1)(xi1xi)(xi1xi+1)2xxixi+1+f(xi)(xixi1)(xixi+1)2xxi1xi+1+f(xi+1)(xi+1xi1)(xi+1xi)2xxi1xi

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