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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
+