Chapter 10.5, Problem 5E

Consider the functions in Exercises 5–8 as representing the value of an ounce of palladium in U.S. dollars as a function of the time t in days. Find the average rates of change of $R\left(t\right)$ over the time intervals $\left[t,t+h\right]$, where t is as indicated and $h=0,0.1,$ and 0.01 days. Hence, estimate the instantaneous rate of change of R at time t, specifying the units of measurement. (Use smaller values of h to check your estimates.) [HINT: See Example 1.]

$R\left(t\right)=60+50t-t^2;t=5$