Let \({\mathrm{h}(x) = \frac{\mathrm{f}(x)}{\mathrm{g}(x)}}\). Show that \({\mathrm{h}'(x) = \frac{\mathrm{f}'(x)\mathrm{g}(x) - \mathrm{f}(x)\mathrm{g}'(x)}{[\mathrm{g}(x)]^{2}}}\).

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Proof of the Quotient Rule of Differentiation

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