Question
A three times continuously differentiable function f is given by the following data: f(1.1)=2, f(1.3)=1.5, f(1.5)=1.2,...
A three times continuously differentiable function f is given by the following data: f(1.1)=2, f(1.3)=1.5, f(1.5)=1.2, f(1.7)=1.6. Assume that |f '''(t)| =< 100 for 1.1 < t < 1.7. Find the two-sided estimate for f'(1.3). Give an error bound.
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