Question: Example f(x)= cos(x) True value: f'(0.8) = - sin( 0.8 )=-0.71735609 = Computed Numerical Approximation based upon Centered Formula: Step Size h f(x) Order O(ha)
Example f(x)= cos(x) True value: f'(0.8) = - sin( 0.8 )=-0.71735609 = Computed Numerical Approximation based upon Centered Formula: Step Size h f(x) Order O(ha) f (x) Order O(h) 0.1 -0.716161095 -0.717353703 0.01 -0.717344150 -0.717356108 0.001 -0.717356000 -0.717356167 0.0001 -0.717360000 -0.717360833 Example f(x)= cos(x) True value: f'(0.8) = - sin( 0.8 )=-0.71735609 = Computed Numerical Approximation based upon Centered Formula: Step Size h f(x) Order O(ha) f (x) Order O(h) 0.1 -0.716161095 -0.717353703 0.01 -0.717344150 -0.717356108 0.001 -0.717356000 -0.717356167 0.0001 -0.717360000 -0.717360833
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