Derivative-practice-product-rule.tex

\Section{Derivative practice---product rule}

\begin{ProblemSet}[pencil space=2in]

 \begin{Problem}[pencil space=1in]
  What is $u'(x)$?
  \begin{equation*}
   \LeftStyle{u(x) = 6 x^2 - 4x + 7}
  \end{equation*}
 \end{Problem}

 \begin{Problem}[pencil space=1in]
  What is $v'(x)$?
  \begin{equation*}
   \RightStyle{v(x) = 3 x^2 + 2 x - 5}
  \end{equation*}
 \end{Problem}

 \begin{Problem}[pencil space=3in]
  What is $f'(x)$?
  \begin{equation*}
   f(x) =
   \LeftStyle{\left(6 x^2 - 4x + 7\right)}
   \RightStyle{\left(3 x^2 + 2 x - 5\right)}
  \end{equation*}
 \end{Problem}

 \begin{Problem}
  What is $g'(t)$?
  \begin{equation*}
   g(t) = \LeftStyle{\left(8 t^3 - 5t^2 + 3\right)}\cdot\RightStyle{\left(10t - t^2 + 4t^3\right)}
  \end{equation*}
 \end{Problem}

 \begin{Problem}
  What is $m'(x)$?
  \begin{equation*}
   m(x) = x \cdot (4x^2 - 8x)
  \end{equation*}
 \end{Problem}

 \begin{Problem}
  What is $r'(u)$?
  \begin{equation*}
   r(u) = u^{-1} \cdot (4 u^2 - 8 u)
  \end{equation*}
 \end{Problem}

 \begin{Problem}
  What is $h'(z)$?
  \begin{equation*}
   h(z) = (z^2+z)\cdot\left(-z^3 - 4z^2 + z\right)
  \end{equation*}
 \end{Problem}

 \begin{Problem}
  What is $k'(w)$?
  \begin{equation*}
   k(w) = \left(5w^2 - w^{-2}\right)\left(1 + \sqrt{2}\right)
  \end{equation*}
 \end{Problem}

 \begin{Problem}
  What is $g'(p)$?
  \begin{equation*}
   g(p) = \left(3\sqrt{p} + \frac{1}{\sqrt{7p}}\right)(5 p^2 + 9 p - 2)
  \end{equation*}
 \end{Problem}

\end{ProblemSet}

%%% Local Variables:
%%% mode: latex
%%% TeX-master: "Business-calculus-workbook"
%%% End: