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Let x be fixed. Use the method of undetermined coefficients to find a higher order differentiation...

Let x be fixed. Use the method of undetermined coefficients to find a higher order differentiation formula for computing an approximation of the second order derivative f′′(x) based on the values f(x−2h),f(x−h),f(x),f(x+h),f(x+2h). What is the order of the error?

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