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\centerline{MATH 133 -- Calculus with Fundamentals 1}
\centerline{Quiz 7 -- November 17, 2017}
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\noindent
Your Name: $\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}$
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\noindent
{\it Directions}
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Do all work in the space provided.  There are 30 total points possible.   
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\noindent
{\it Questions}
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\begin{enumerate}
\item[1)] 
\begin{enumerate} 
\item[(a)] (7) Find $\frac{dy}{dx}$ by implicit differentiation given 
that $x^3y^2 - 5y + x = 1$.    
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\item[(b)] (3) Find the equation of the tangent line to the curve with the equation
$x^3y^2 - 5y + x = 1$ at $(x,y) = (0,-1/5)$ using your answer from (a).
\end{enumerate}
\vfill\eject
\item[2)]  Differentiate the following, but don't simplify:
\begin{enumerate}
\item[(a)] (10) $f(x) = \ln(\cos(x) + \sin(3x))$
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\item[(b)] (10) $g(x) = \tan^{-1}(e^{5x}) + \sin^{-1}(x^2)$
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\end{enumerate}
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