A medicinal drug administered into a human body requires some time to produce its effect on the body. The amount (in mg) of a certain medicinal drug in the bloodstream at t hours after administering the drug to an individual is given by the function:

C(t)=t3+4.5t2+54t,          0<t<10

Shown below is the graph of C(t) in the interval [0, 10].

Find the rate at which the amount of drug is changing in the bloodstream at 5 hours after administering the drug. Show your work.

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A medicinal drug administered into a human body requires some time to produce its effect on the body. The amount (in mg) of a certain medicinal drug in the bloodstream at t hours after administering the drug to an individual is given by the function: C(𝑡)=𝑡3+4.5𝑡2+54𝑡, 0<𝑡<10 Shown below is the graph of C(t) in the interval [0, 10].

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.