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 Question from Igwe, a student: If y=In[x(2x-4)^1/2],find dy/dx at x=3

Igwe,

I would first simplify $y = \ln \left[x (2x - 4)^{1/2} \right]$ using the facts that $\ln (ab) = \ln(a) + \ln(b)$ and $\ln(a^b) = b \ln(a).$

Penny

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