PLEASE HELP!
After a certain drug is injected into a patient, the concentration of C of the drug in the bloodstream is monitored. At time t0 (in minutes since injection), the concentration (in mg/L) is given by the equation: C(t)=(45t)/(t^2+9)

What is the highest concentration of the drug? Please show work.

Question

PLEASE HELP!
After a certain drug is injected into a patient, the concentration of C of the drug in the bloodstream is monitored. At time t>0 (in minutes since injection), the concentration (in mg/L) is given by the equation: C(t)=(45t)/(t^2+9)

What is the highest concentration of the drug? Please show work.

anonymous · Answer

After 3 minutes. and the maximum concentration at 3 min is  7.5mg/l
all you had to do was to find the local maximum of the the function.