Vaccination To know exactly when vaccination rate increases or decreases, we can derivative use the first derivative to calculate rate of change. 128 Equation when we input the parameters: 80 y = 0.0000013066x^8 - 0.000106253x47 + 0.0036298x^6 - 0.0661829x45 + 0.675971x^4 - 3.77731x^3 + 11.3554x^2 - 14.7902x + 6.52353 y' = (1.04528*10^-5)x47 - (7.43771*104-4)x46 + 0.0217788x45 - 0.3309145x/4 + 2.703884x^3 - 11.33193x^2 + 22.7108x - 14.7902 ad y" = (7.31696*10^-5)x46 - (4.462626*10^-3)x45 + 0.108894x^4 - 1.323658x^3 + 20 8.111652x^2 - 22.66386x + 22.7108 -20 0 20