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\centerline{MATH 134 -- Calculus with Fundamentals 2}
\centerline{Diagnostic Quiz on Derivative Rules}
\centerline{January 26, 2018}
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{\it Directions}
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Do all work on the quiz sheet (both sides).  You \emph{do not} need to simplify your answers.
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\noindent
{\it Questions}
\begin{enumerate}
\item[(1)]  Find $f'(x)$ and $f''(x)$ if $f(x) = x^4 + \sqrt{x} - e^x$
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\item[(2)]  Find $f'(x)$ if $f(x) = x^3 \cos(x)$.
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\item[(3)]  Find $f'(x)$ if $\displaystyle f(x) = \frac{\tan^{-1}(x)}{x^2 + 1}$. (Note:  $\tan^{-1}$ is the inverse tangent, or arctangent, function; the $-1$ is not
a power)
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\item[(4)]  Find $f'(x)$ if $f(x) = \ln(\sin(x) + e^{3x})$.
\end{enumerate}
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