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\centerline{MATH 135 -- Calculus 1}
\centerline{Derivative Rule Practice}
\centerline{October 11, 2013}
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{\it Directions:}  Use the sum, constant multiple, product, and quotient rules to compute
each of the following derivatives.  Say which rules you are using for each one.
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I.  Find $f'(x)$ for 
$$f(x) = x^4 e^x - {3\over \sqrt{x}}$$
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II.  Find $G'(t)$ for 
$$G(t) = e^{-t}(t^2 - 4t + 3)$$
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III.  Find $H'(z)$ and $H''(z)$ for 
$$H(z) = {z^2 \over z^2 - 4}$$
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IV.  Find $J'(w)$ for 
$$J(w) = {w^4 - 7w^3 + 2w - 1\over w^{3/5}}$$ 
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