Let f (x) = (x+1)3 Using the centered 3-point formula for 1* derivatives: %3D f'(0) -0.502509 using h = 0.1 %3D f'(0) x -0.500626 using h = 0.05 %3D Applying Richardson's extrapolation on the above...

Let f (x) =<br>(x+1)3<br>Using the centered 3-point formula for 1* derivatives:<br>%3D<br>f'(0) -0.502509 using h = 0.1<br>%3D<br>f'(0) x -0.500626 using h = 0.05<br>%3D<br>Applying Richardson's extrapolation on the above values, we get a better approximation of<br>f'(0) which is:<br>O 0.249999<br>O 0.234256<br>O -1.99985<br>-0.499998<br>

Extracted text: Let f (x) = (x+1)3 Using the centered 3-point formula for 1* derivatives: %3D f'(0) -0.502509 using h = 0.1 %3D f'(0) x -0.500626 using h = 0.05 %3D Applying Richardson's extrapolation on the above values, we get a better approximation of f'(0) which is: O 0.249999 O 0.234256 O -1.99985 -0.499998

Jun 04, 2022

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Let f (x) = (x+1)3 Using the centered 3-point formula for 1* derivatives: %3D f'(0) -0.502509 using h = 0.1 %3D f'(0) x -0.500626 using h = 0.05 %3D Applying Richardson's extrapolation on the above...

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