Let f(x) = . Using the centered 3-point formula for 1* derivatives: (x+1)=* f'(0) × -2.04061 using h = 0.1 f'(0) & -2.01004 using h = 0.05 Applying Richardson's extrapolation on the above values, we...

Let f(x) =<br>. Using the centered 3-point formula for 1* derivatives:<br>(x+1)=*<br>f'(0) × -2.04061 using h = 0.1<br>f'(0) & -2.01004 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>-1.99985<br>0.234256<br>-0.499998<br>0.249999<br>

Extracted text: Let f(x) = . Using the centered 3-point formula for 1* derivatives: (x+1)=* f'(0) × -2.04061 using h = 0.1 f'(0) & -2.01004 using h = 0.05 Applying Richardson's extrapolation on the above values, we get a better approximation of f'(0) which is: -1.99985 0.234256 -0.499998 0.249999

Jun 04, 2022

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Let f(x) = . Using the centered 3-point formula for 1* derivatives: (x+1)=* f'(0) × -2.04061 using h = 0.1 f'(0) & -2.01004 using h = 0.05 Applying Richardson's extrapolation on the above values, we...

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