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\centerline{MATH 133 -- Calculus with Fundamentals 1}
\centerline{Makeup Quiz 5 -- October 30, 2017}
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Your Name: $\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}$
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{\it Directions}
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Do all work on this sheet.  There are 30 possible points.
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\item[1)]  Use the ``short-cut'' rules to find the derivatives of the following functions:
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\item[(a)] (10) $f(x) = 6x^{8} + 2\sqrt{x} + e^x -4e^2$
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\item[(b)] (10) $g(x) = (x^3 + 2)(x^2 + 4x)$  (Hint:  You do not need the product rule for this, but you can use it if you want!)
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\begin{figure}
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\caption{The Graph $y = f(x)$ for question 2.}
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\item[2)] By examining the graph answer these questions.
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\item[(a)] (5) Does $f'(1)$ exist? $\underline{\qquad\qquad}$ (Y/N) Why or why not?
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\item[(b)] (5) Does $f'(2)$ exist? $\underline{\qquad\qquad}$ (Y/N) Why or why not?
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