x f(x) f'(x) f''(x) 1.0 6.0475 0.2067 -0.1592 1.5 6.1358 0.1536 -0.0707 2.0 6.2053 0.1271 -0.0398 2.5 6.2646 0.1112 -0.0255 3.0 6.3173 0.1006 -0.0177 3.5 6.3656 0.0930 -0.0130 4.0 6.4106 0.0873 -0.0099 4.5 6.4531 0.0829 -0.0079 5.0 6.4936 0.0793 -0.0064 5.5 6.5326 0.0764 -0.0053 6.0 6.5702 0.0740 -0.0044 6.5 6.6067 0.0720 -0.0038 7.0 6.6422 0.0702 -0.0032 7.5 6.6769 0.0687 -0.0028 8.0 6.7110 0.0674 -0.0025 8.5 6.7444 0.0662 -0.0022 9.0 6.7772 0.0652 -0.0020 9.5 6.8096 0.0643 -0.0018 10.0 6.8415 0.0634 -0.0016 10.5 6.8730 0.0627 -0.0014 11.0 6.9041 0.0620 -0.0013 11.5 6.9350 0.0613 -0.0012 12.0 6.9655 0.0608 -0.0011 12.5 6.9957 0.0602 -0.0010 13.0 7.0257 0.0597 -0.0009 13.5 7.0555 0.0593 -0.0009 14.0 7.0850 0.0589 -0.0008 14.5 7.1144 0.0585 -0.0008 15.0 7.1435 0.0581 -0.0007 15.5 7.1725 0.0578 -0.0007 16.0 7.2013 0.0574 -0.0006 16.5 7.2299 0.0571 -0.0006 17.0 7.2584 0.0569 -0.0006 17.5 7.2868 0.0566 -0.0005 18.0 7.3150 0.0563 -0.0005 18.5 7.3431 0.0561 -0.0005 19.0 7.3711 0.0559 -0.0004 19.5 7.3990 0.0557 -0.0004 20.0 7.4268 0.0555 -0.0004 20.5 7.4545 0.0553 -0.0004 21.0 7.4821 0.0551 -0.0004 21.5 7.5095 0.0549 -0.0003 22.0 7.5370 0.0547 -0.0003 22.5 7.5643 0.0546 -0.0003 23.0 7.5915 0.0544 -0.0003 23.5 7.6187 0.0543 -0.0003 24.0 7.6458 0.0541 -0.0003 24.5 7.6728 0.0540 -0.0003 25.0 7.6998 0.0539 -0.0003 25.5 7.7267 0.0537 -0.0002 26.0 7.7535 0.0536 -0.0002 26.5 7.7803 0.0535 -0.0002 27.0 7.8070 0.0534 -0.0002 27.5 7.8337 0.0533 -0.0002 28.0 7.8603 0.0532 -0.0002 28.5 7.8869 0.0531 -0.0002 29.0 7.9134 0.0530 -0.0002 29.5 7.9399 0.0529 -0.0002 30.0 7.9663 0.0528 -0.0002 Legend: x + 2000 = Year f(x) = Population f'(x) = Growth of population at that year (dy/dx) f''(x) = d²y/dx² of population