In differential calculus, the "Quotient Rule" says:

The Quotient Rule can be deduced directly from the product rule and chain rule by noting that $\frac{g(x)}{h(x)}~=~g(x)[h(x)]^{-1}.$

Some teachers never teach the quotient rule, preferring instead to rely on a solid understanding of the product rule and chain rules.

Calculus DifferentiatingPolynomials IntegralCalculus IsaacNewton OrdinaryDifferentialEquation PartialDifferentialEquation ProductRule	(none)			(none)
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ChainRule DifferentialCalculus			DifferentiatingTrigFunctions
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		⇌	You are here QuotientRule
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			ProductRule
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Calculus CategoryMetaTopic DifferentiatingPolynomials DifferentiatingTrigFunctions Function IntegralCalculus	(none)			(none)

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Quotient Rule