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Algebra
Pregunta

A drug is injected into a patient's bloodstream t...

 A drug is injected into a patient's bloodstream through her right arm. The drug concentration (in milligrams per cubic centimeter) in the bloodstream of the left arm \( / \) hours after the injection is given by 

\( C ( t ) = \frac { 0.14 t } { t ^ { 2 } + 1 }\) 

(A) Find \( C ^ { \prime } ( t ) \) 

(B) Find \( C ^ { \prime } ( 0.5 ) \) and \( C ^ { \prime } ( 3 ) , \) and interpret the results. 

Answer

(A)

\(( \frac { 0.14 t } { t ^ { 2 } + 1 } ) ^ { \prime } = \frac { 0.14 ( - t ^ { 2 } + 1 ) } { ( t ^ { 2 } + 1 ) ^ { 2 } }\)  

(B). C'(0.5) = 0.0672

C'(3)  =-0.0112

Solución
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