Rules for differentiation

The chain rule:

$\frac{d}{dx}f(g(x))=f{(g(x)}g'(x)$

Derivatives of products and quo-

$\begin{align*} \frac{d}{dx}(fg)&=\frac{df}{dx}g+\frac{dg}{dx}f \\\frac{d}{dx}(\frac{f}{g})&=\frac{f{}'}{g}-\frac{fg{}'}{g^{2}} \end{align*}$

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