\magnification=\magstep1
\centerline{MATH 135 -- Calculus 1}
\centerline{Derivative Rule Practice}
\centerline{October 11, 2013}
\bigskip
\noindent
{\it Directions:}  Use the sum, constant multiple, product, and quotient rules (only) to compute
each of the following derivatives.  (If you know the Chain Rule, please do not make use of that since
we will only learn that in a few days(!)) Say which rules you are using for each one.
\bigskip
\noindent
I.  Find $f'(x)$ for 
$$f(x) = x^4 e^x - {3\over \sqrt{x}}$$
\vglue 3.0truein
\noindent
II.  Find $G'(t)$ for 
$$G(t) = e^{-t}(t^2 - 4t + 3)$$
\vglue 3.0truein
\vfill\eject
\noindent
III.  Find $H'(z)$ and $H''(z)$ for 
$$H(z) = {z^2 \over z^2 - 4}$$
\vglue 2.0truein
\noindent
IV.  Find $J'(w)$ for 
$$J(w) = {w^4 - 7w^3 + 2w - 1\over w^3}$$ 
\bye
