I have a data set with unequally spaced points: x 0 0.2 0.3 f(x) -2.1 0.3 1.4 I would like to estimate f ′(0.2). Let’s consider h = 0.1 and x0 = 0.2. (a)Derive a second order accurate finite difference method using x0, x0−2h, and x0 + h.  The derivation will involve a Taylor polynomial evaluated at x0−2h and x0+h. Clearly show the error term O(h2) result in your derivation. (b) Apply your finite difference formula to estimate f ′(0.2).

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