Consider the functionR(t) as representing the value of an ounce of palladium in U.S. dollars as a function of the timetin days.?

R(t) =280+40t³;t= 1

Find the average rate of change ofR(t) over the time intervals [t,t+h], wheretis as indicated andh= 1, 0.1, and 0.01 days. (Use smaller values ofhto check your estimates.) HINT [See Example 1.] (Round your answers to one decimal place.)

\fEstimate the instantaneous rate of change of R at time t, specifying the units of measurement. R'(1) = value/day