To test an individual's use of certain mineral, a researcher injects a small amount of radioactive form of that mineral into the persons bloodstream. Supposed to amount of the mineral remaining in the bloodstream t days after the initial injection is approximately C(t)= 1/2(4t+4)^-1/2. Fune the rate of change of the mineral level with respect to time for 0 days 8' milligrams per cubic centimeter.  I tried to find the derivative of the formula and it equaled zero which didn't really make sense to me so I'm asking for help

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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To test an individual's use of certain mineral, a researcher injects a small amount of radioactive form of that mineral into the persons bloodstream. Supposed to amount of the mineral remaining in the bloodstream t days after the initial injection is approximately C(t)= 1/2(4t+4)^-1/2. Fune the rate of change of the mineral level with respect to time for 0 days 8' milligrams per cubic centimeter. 

I tried to find the derivative of the formula and it equaled zero which didn't really make sense to me so I'm asking for help 

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