g(x) we derived rudimentary formulae for the centered differences of the first and second derivatives. These...

 

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g(x) we derived rudimentary formulae for the centered differences of the first and second derivatives. These were based on Taylor approximations for m1. Regardless, you can improve on these estimates by incorporating Taylor approximations for m2. In turn, derive innovative formulae for the centered differences of the first and second derivatives; [ym+2-8ym+1] is useful for the former, and [ym+2-16ym+1] is useful for the latter. ences of the first and r m1. Regardless, mations for m 2. In turn, derive innovative formulae for the centered differences of the first and second g(x) we derived rudimentary formulae for the centered differences of the first and second derivatives. These were based on Taylor approximations for m1. Regardless, you can improve on these estimates by incorporating Taylor approximations for m2. In turn, derive innovative formulae for the centered differences of the first and second derivatives; [ym+2-8ym+1] is useful for the former, and [ym+2-16ym+1] is useful for the latter. ences of the first and r m1. Regardless, mations for m 2. In turn, derive innovative formulae for the centered differences of the first and second