Problem #$2$: Create the list conc$\_$prime, which gives the approximate rate of change of concentration with respect to time.

Use forward differences to compute your approximations, except at the last data point $($time$[720],$

concentration $[720]),$ where you should use a backwards difference.

$($a$)$ When does the concentration reach $4\mathrm{.}36844959?$ Express your answer in hours.

$($b$)$ What is the rate of change of the concentration after $11$ hours?

$($c$)$ What is the maximum rate of change of concentration $($in $m\frac{g}{m}\frac{L}{h})?$

$($d$)$ What is the time at which the maximum concentration in $($c$)$ occurs?