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\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
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