the first derivative of a persons body temperature with resp

the first derivative of a person\'s body temperature, with respect to the dosage of x milligrams of a drug, is given by D\'(x)=8/x+3. one milligram raises the temperature 2.4 degrees C. Find the function D(x) giving the total change in temperature as a function of x

Solution

d(D)/dt = 8/(x+3) dt/dx = 2.4 d(D)/dx = 8*2.4/(x+3) D = 19.2ln(x+3)
the first derivative of a person\'s body temperature, with respect to the dosage of x milligrams of a drug, is given by D\'(x)=8/x+3. one milligram raises the t

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