SOLUTION: The concentration of a drug in a bloodstream, measured in milligrams per liter, can be modeled by the function, C(t)=(12t+4)/(3t�+2), where t is the number of minutes after injecti

Question 977588: The concentration of a drug in a bloodstream, measured in milligrams per liter, can be modeled by the function, C(t)=(12t+4)/(3t�+2), where t is the number of minutes after injection of the drug. When will the drug be at its highest concentration? Approximate your answer rounded to two decimal places.
Found 2 solutions by Fombitz, Boreal:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Find the derivative,

Set the derivative equal to zero.

Only use the positive time value.

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
(12t+4)/(3t�+2)
Graphing gives an idea of the maximum, and I would use a graphing calculator on this and get t=0.55 giving a maximum of 3.65.
Of note is that the first derivative set to zero gives 2/3 with a maximum of 3.60.

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