The concentration of a drug in the bloodstream is given by C ( t ) = 120 t 2 t 2 + 30 C(t)=\frac{120t^2}{t^2+30} , where t t is the time in hours after the drug is administered, and C ( t ) C(t) is the concentration in micrograms per liter. For arbitrary positive values, when does the maximum rate of change in drug concentration occur?

10 hours \sqrt{10}\text{ hours}

20 hours \sqrt{20}\text{ hours}

The concentration of a drug in the bloodstream is ...

0. Functions(0)

1. Limits and Continuity(0)

2. Intro to Derivatives(0)

3. Techniques of Differentiation(0)

4. Applications of Derivatives(0)

5. Graphical Applications of Derivatives(0)

6. Derivatives of Inverse, Exponential, & Logarithmic Functions(0)

7. Antiderivatives & Indefinite Integrals(0)

8. Definite Integrals(0)