A medicinal drug administered into a human body requires some time to produce its effect on the body. The amount (in mg) of a certain medicinal drug in the bloodstream at t hours after administering the drug to an individual is given by the function:
C(t)=t3+4.5t2+54t, 0<t<10
Shown below is the graph of C(t) in the interval [0, 10].
Find the rate at which the amount of drug is changing in the bloodstream at 5 hours after administering the drug. Show your work.