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The strength of a patient's reaction to a dose of x milligrams of a certain drug is R ( x ) = 8 x (squareroot

The strength of a patient's reaction to a dose of x milligrams of a certain drug is R(x) = 8x (squareroot16 + 0.5x)

for 0 x 180.

The derivative R'(x) is called the sensitivity to the drug. Find R'(40), the sensitivity to a dose of 40 mg. Show all work.

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