\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}