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\iteman{ZMATH 2013b.00862}
\itemau{Gordon, Sheldon P.}
\itemti{Some surprising errors in numerical differentiation.}
\itemso{PRIMUS, Probl. Resour. Issues Math. Undergrad. Stud. 22, No. 6, 437-450 (2012).}
\itemab
Summary: Data analysis methods, both numerical and visual, are used to discover a variety of surprising patterns in the errors associated with successive approximations to the derivatives of sinusoidal and exponential functions based on the Newton difference-quotient. L'H\^opital's rule and Taylor polynomial approximations are then used to explain why these surprising patterns occur.
\itemrv{~}
\itemcc{N45 N25}
\itemut{numerical differentiation; error analysis; Taylor approximation; l'H\^opital's rule}
\itemli{doi:10.1080/10511970.2010.536199}
\end