The amount of medicine ingested by the body is a function given by A(t)= 5/6 (12t-t^2)
Estimate the slope of the tangent at the point (4, 80/3). Use an interval of 0.01. Explain what the value represents for this situation.
A(4) = 80/3 = 26.6666
A(4.01) = 26.6999
slope ≈ .0333/.01 = 3.33
As always, the slope is the rate of change. In this case, how fast the drug is being absorbed 4 <time units> after ingestion.