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\sethandouttitle{Trignometric Functions}
\begin{enumerate}
\item Differentiate the function.
\begin{enumerate}
\item $f(x) = \sin(\ln x)$.
\item $f(x) = \sin(x) \ln(5x)$.
\item $g(x) = \ln\left( \frac{ (2y+1)^5 }{ \sqrt{ y^2+1} } \right)$.
\item $y = \frac{x}{e^x}$.
\item $F(t) = e^{t \sin(2t) }$.
\end{enumerate}
\item Without simplfiying, find the derivative of $f(x) = \ln( e^{3x} )$.
Then simply $f(x)$ and differentiate. Do your answers agree?
\item Use logarithmic differentiation to differentiate the function.
\begin{enumerate}
\item $f(x) = (x^2+2)^2(x^4+4)^4$.
\item $f(x) = x^x$.
\end{enumerate}
\end{enumerate}
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