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Name: \hrulefill & & Math 1441 Quiz 6 \\[0.2cm]
\hspace{8cm} & & 
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{\bf 1.} (6 pts) Find the derivative of the function.
\begin{flalign}
&(a)\ y=x\,e^{-x}\hspace{6cm} 
(b)\ y=\ln(\ln x)
& \notag
\end{flalign}\\[7cm]

{\bf 2.} (6 pts) Use \textbf{logarithmic differentiation} to find the derivative of the function.
$$y=\frac{x\,(1-2x)^3}{\sqrt{x^2+1}}$$\\[9cm]

\newpage

{\bf 3.} (8 pts) Use the \textbf{Closed Interval Method} to determine the absolute extreme values of
$$f(x)=x^3-3x^2+2,\ \text{on the interval } [-1,1].$$

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