7. In the process of a medical procedure, a technician injects a small amount of a radioactive mineral into the patient's bloodstream. The amount of the mineral remaining in the bloodstream (in milligrams per milliliter) $$ t $$ days after the initial injection is approximated by $$ C(t)=\frac{1}{2}(4 t+4)^{-1 / 2} $$. a. Find the rate of change of the mineral level with respect to time when the initial injection is administered (after 0 days). Include units.

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Jimenez Spencer · Accepted Answer

The rate of change of the mineral level at $$ t = 0 $$ is $$ -\frac{1}{4} 	ext{ mg/(mL·day)} $$.

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