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This problem explores using logarithmic differentiation to show various identities from earlier in this course.
\begin{enumerate}
    \item Use logarithmic differentiation on $y = x^n$ to show that $\frac{d}{dx}(x^n) = nx^{n-1}$.
    \item Use logarithmic differentiation on $y = f(x)g(h)$ to verify the product rule. 
    \item Use logarithmic differentiation on $y = \frac{f(x)}{g(x)}$ to verify the quotient rule.
\end{enumerate}

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