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\centerline{MATH 135 -- Calculus 1}
\centerline{Review on Differentiation Rules}
\centerline{December 9, 2019}
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\noindent
{\it Practice Problems}
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\noindent
For each of the following functions, compute the derivative $\frac{dy}{dx}$:
\begin{enumerate}
\item State the Product, Quotient, and Chain Rules for derivatives. (You should
be prepared to do this on an exam as well.)
\item 
$$y = 5x^{1/3} - \frac{x^3 + 7x}{\sqrt{x}}$$
\item
$$y = \sin(x) e^{-6x}$$
\item
$$y = \frac{\tan(x)}{\ln(x)}$$
\item
$$y = (x - 3)\cos(x^4 + 3x^2 + 1)$$
\item
$$y = \sin^{-1}(e^x + 3)$$
\item
$$xy^3 + 4x^2 + 3y - 2x = xy$$
\item What is the equation of the tangent line to the curve
defined by the equation in the previous problem at the point
$(0,0)$?
\end{enumerate}
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