Chapter 4.1, Problem 59E

Business: electric vehicle sales. The rate of change in worldwide sales of electric vehicles $t$ years since 2013 is given by

$S\text{'}\left(t\right)=96.2885e^{0.427t}$

Where $S\text{'}\left(t\right)$ is in thousands of vehicle sold per year. In 2016, approximately 774,000 electric vehicles were sold worldwide. (Source: Based on data from www .ev-volumes.com.)

a) Find a function $S’\left(t\right)$ that models the yearly world-wide sales of electric vehicles $t$ years since 2013.

b) Estimate the yearly worldwide sales in 2020.