- #1
arhzz
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- Homework Statement
- Denote c (t) the concentration of an active ingredient in the blood t hours after the injection
and c (t) = 16t applies
(10t + 20)^2. Find the maximum concentration and timing of the
occurrence.
- Relevant Equations
- -
Hello! Now this is not really a physics problem of the usual kind but I'd say you could consider it one.Still I'd like to post my problem here because here I always get great help and advice.Now for this problem in particular,it is in the section of the book that deals with derivatives so I asummed I'd have to use it at some point.Now the derivative I used is c(t)/t.So t is our differantiation constant.Now here lies my problem. Since this is ##
\frac f g## I used the rule. that is used which is $$\frac{f(x)' * g(x) - f(x) * g'(x)}{g(x)^2}$$ Now since I didnt get the same result,and after trying for about 40 minutes I went to look at the solution and they used the same rule (the numerator was the same) but they completely left the denomiantor, they simply derived without the g(x)^2 or in this case should be g(x)^4. Why is that so? What am I missing ?
Thanks
\frac f g## I used the rule. that is used which is $$\frac{f(x)' * g(x) - f(x) * g'(x)}{g(x)^2}$$ Now since I didnt get the same result,and after trying for about 40 minutes I went to look at the solution and they used the same rule (the numerator was the same) but they completely left the denomiantor, they simply derived without the g(x)^2 or in this case should be g(x)^4. Why is that so? What am I missing ?
Thanks
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