We discussed the process of numerical differentiation using the approximation Using the Taylor series for f(a +
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We discussed the process of numerical differentiation using the approximation
Using the Taylor series for f(a + h) and f(a – h) about x = a, show that
to f´(a) with truncation error O(h6). Apply this extrapolation procedure to find f´(1) when f(x) = cosh x, taking h = 0.4, 0.2 and 0.1, working to as many decimal places as your calculator will permit.
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