Let f (x) = (x+1)2 Using the centered 3-point formula for 1t derivatives: www f'(0) x -0.502509 using h = 0.1 f'(0) x -0.500626 using h = 0.05 Applying Richardson's extrapolation on the above values,...

Let f (x) =<br>(x+1)2<br>Using the centered 3-point formula for 1t derivatives:<br>www<br>f'(0) x -0.502509 using h = 0.1<br>f'(0) x -0.500626 using h = 0.05<br>Applying Richardson's extrapolation on the above values, we get a better approximation of<br>f'(0) which is:<br>0.234256<br>-0.499998<br>-1.99985<br>0.249999<br>

Extracted text: Let f (x) = (x+1)2 Using the centered 3-point formula for 1t derivatives: www f'(0) x -0.502509 using h = 0.1 f'(0) x -0.500626 using h = 0.05 Applying Richardson's extrapolation on the above values, we get a better approximation of f'(0) which is: 0.234256 -0.499998 -1.99985 0.249999

Jun 04, 2022

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Let f (x) = (x+1)2 Using the centered 3-point formula for 1t derivatives: www f'(0) x -0.502509 using h = 0.1 f'(0) x -0.500626 using h = 0.05 Applying Richardson's extrapolation on the above values,...

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