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Students were asked to compute the derivative of $f(x) = \sin{(e^x  - x^2 + 2)}$. Find the derivative yourself. Then, look at each of the following (incorrect) answers. Write a sentence about what each student did wrong on the problem and what they should remember or think about next time in order to get a similar problem correct in the future.
\begin{enumerate}
    \item $f'(x) = \cos{(e^x - x^2 + 2)}$
    \item $f'(x) = \cos{(e^x - 2x)}$
    \item $f'(x) = \cos{x}(e^x - 2x)$
    \item $f'(x) = \cos{(e^x - x^2 + 2)} (e^x - x^2 + 2)$
\end{enumerate}


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