\sethandouttitle{}


\begin{enumerate}
	\item	Differentiate the function.
		\begin{enumerate}
			\item	$f(x) = x^3 - 4x+6$.
			\vfill
			\item	$f(s) = \frac{-12}{s^5} + \sin(s)$.
			\vfill
			\item	$f(x) = \frac{ x^2 + 4x + 3 }{\sqrt{x}}$.
			\vfill
		\end{enumerate}

	\item	Find an equation for the tangent line of $y=3x^2 - x^3$ at $(1,2)$.
	\vfill

	\newpage

	\item 	Find the first and second derivatives of $f(x) = x^4 - 3x^3 + 16x$.
	\vfill
	
	\item	The position function of a particle is given by $s = t^3 - 4.5 t^2 - 7t$, $t \geq 0$.
		\begin{enumerate}
			\item When does the particle reach a velocity of 5m/s?
			\vfill
			\item When is the acceleration 0? What is the signifigance of this value of $t$?
			\vfill
		\end{enumerate}

	\item	A spherical balloon is being inflated. 
			Find the rate of increase of the surface area ($S= 4 \pi r^2$) 
			with respect to the radius when $r=1$, $r=2$ and $r=3$. What conclusion can you make?
	\vfill
\end{enumerate}

\allhandoutinfo

