10 gridpoints
 
          x_i         f(x_i)         df(x_i)               f'(x_i)
     0.00000000     0.00000000     4.97828703     5.00000000
     0.10000000     0.47942554     4.39244851     4.38791281
     0.20000000     0.84147098     2.69916604     2.70151153
     0.30000000     0.99749499     0.35120847     0.35368601
     0.40000000     0.90929743    -2.08273719    -2.08073418
     0.50000000     0.59847214    -4.00675614    -4.00571808
     0.60000000     0.14112001    -4.94978145    -4.94996248
     0.70000000    -0.35078323    -4.68092763    -4.68228344
     0.80000000    -0.75680250    -3.26972185    -3.26821810
     0.90000000    -0.97753012    -1.05070448    -1.05397900
     1.00000000    -0.95892427     1.40077358     1.41831093
 50 gridpoints
 
          x_i         f(x_i)         df(x_i)               f'(x_i)
     0.00000000     0.00000000     4.99999823     5.00000000
     0.02000000     0.09983342     4.97502120     4.97502083
     0.04000000     0.19866933     4.90033269     4.90033289
     0.06000000     0.29552021     4.77668217     4.77668245
     0.08000000     0.38941834     4.60530461     4.60530497
     0.10000000     0.47942554     4.38791238     4.38791281
     0.12000000     0.56464247     4.12667758     4.12667807
     0.14000000     0.64421769     3.82421037     3.82421094
     0.16000000     0.71735609     3.48353293     3.48353355
     0.18000000     0.78332691     3.10804917     3.10804984
     0.20000000     0.84147098     2.70151081     2.70151153
     0.22000000     0.89120736     2.26797985     2.26798061
     0.24000000     0.93203909     1.81178798     1.81178877
     0.26000000     0.96355819     1.33749333     1.33749414
     0.28000000     0.98544973     0.84983489     0.84983571
     0.30000000     0.99749499     0.35368518     0.35368601
     0.32000000     0.99957360    -0.14599844    -0.14599761
     0.34000000     0.99166481    -0.64422329    -0.64422247
     0.36000000     0.97384763    -1.13601127    -1.13601047
     0.38000000     0.94630009    -1.61644861    -1.61644783
     0.40000000     0.90929743    -2.08073492    -2.08073418
     0.42000000     0.86320937    -2.52423122    -2.52423052
     0.44000000     0.80849640    -2.94250624    -2.94250559
     0.46000000     0.74570521    -3.33138070    -3.33138011
     0.48000000     0.67546318    -3.68696911    -3.68696858
     0.50000000     0.59847214    -4.00571855    -4.00571808
     0.52000000     0.51550137    -4.28444416    -4.28444377
     0.54000000     0.42737988    -4.52036103    -4.52036071
     0.56000000     0.33498815    -4.71111195    -4.71111170
     0.58000000     0.23924933    -4.85479099    -4.85479083
     0.60000000     0.14112001    -4.94996257    -4.94996248
     0.62000000     0.04158066    -4.99567575    -4.99567575
     0.64000000    -0.05837414    -4.99147379    -4.99147388
     0.66000000    -0.15774569    -4.93739868    -4.93739885
     0.68000000    -0.25554110    -4.83399072    -4.83399096
     0.70000000    -0.35078323    -4.68228311    -4.68228344
     0.72000000    -0.44252044    -4.48379168    -4.48379208
     0.74000000    -0.52983614    -4.24049969    -4.24050016
     0.76000000    -0.61185789    -3.95483802    -3.95483856
     0.78000000    -0.68776616    -3.62966092    -3.62966152
     0.80000000    -0.75680250    -3.26821745    -3.26821810
     0.82000000    -0.81827711    -2.87411903    -2.87411973
     0.84000000    -0.87157577    -2.45130336    -2.45130411
     0.86000000    -0.91616594    -2.00399508    -2.00399586
     0.88000000    -0.95160207    -1.53666355    -1.53666435
     0.90000000    -0.97753012    -1.05397818    -1.05397900
     0.92000000    -0.99369100    -0.56076180    -0.56076263
     0.94000000    -0.99992326    -0.06194249    -0.06194332
     0.96000000    -0.99616461     0.43749409     0.43749492
     0.98000000    -0.98245261     0.93256351     0.93256185
     1.00000000    -0.95892427     1.41830263     1.41831093