\documentclass{exam}[12pt]

\usepackage{amsfonts,amsmath}

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\begin{document}
\pagestyle{head}

\firstpageheader{\large Calculus I}{\bf\Large Implicit Differentiation}{\large Name:\hspace{1in} }
%\extraheadheight{.7in}
%\extrafootheight{-1in} 
%\small{\textit{Work all questions completely.  Show all work.}}

\begin{questions}
\large{

\question Find $\displaystyle\frac{dy}{dx}$ if $\displaystyle 3x^{-2}\sqrt{y} 
-e^y = \frac{1}{x}$.
\vspace{2.1in}

\question Find $\displaystyle\frac{dy}{dx}$ if $\displaystyle 6x^2 y^3 + 
\tan^{-1}(y) = \sin(x)$.
\vspace{2.1in}

\question Find $\displaystyle\frac{dy}{dx}$ if $ x\cos(4y) - y^5=12-y  $.
\vspace{1.1in}







}


\end{questions}

\end{document}