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\begin{center}
\Huge{$\frac{d}{dx}$Trig Practice}\\
\end{center}

\begin{enumerate}
\item For each $f$ defined below, find $f'(x)$.

$f(x)=\sin(x)+2e^x$  \hspace{.5in} $f(x)=5\cos(x)-\tan(x)$  \hspace{.5in} $\displaystyle{f(\theta)=\frac{\cos(\theta)+7}{\sin(\theta)}}$

\vspace{2in}

\item For the limits below (if they exist).

$\displaystyle{\lim_{\theta\rightarrow 0}\frac{\sin(6\theta)}{2\theta}}$  \hspace{1in} $\displaystyle{\lim_{x\rightarrow 0}\frac{\sin(3x)\sin(5x)}{x^2}}$   \hspace{1in} $\displaystyle{\lim_{\theta\rightarrow 0}\frac{\cos(\theta)-1}{\sin(\theta)}}$ 

\vspace{2.5in}
\item Find an equation of the line tangent to $y=3x+6\cos(x)$ at the point $(\frac{\pi}{3}, \pi +3)$.

\end{enumerate}

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\begin{center}

\Huge{More Differentiation Practice}
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\normalsize
\noindent


For each of the functions below find their respective derivatives.

\begin{enumerate}
\item $\sin(x^3-5)$ \hspace{1.5in} $(x^3-1)^{100}$\hspace{1.5in}$5^{3x^2-x}$\\
\vfill


\item Find the derivative of  $\sin^5(x)\sqrt{x^3-5}$.
\vfill


\item  Find the derivative of $\sin^2(x^3)$.


%$\sqrt {47+3e^{3x^2-x}}$\\
%\vfill

\vfill

\end{enumerate}





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