This gives us the quotient rule formula as: ( f g) ′ ( x) = g ( x) ⋅ f ′ ( x) – f ( x) ⋅ g ′ ( x) ( g ( x)) 2. or in a shorter form, it can be illustrated as: d d x ( u v) = v u ′ – u v ′ v 2. where u = f ( x) is the
Quotient rule. In calculus, the quotient rule is a method of finding the derivative of a function that is the ratio of two differentiable functions. [1] [2] [3] Let where both f and g are differentiable
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The quotient rule formula can be derived by three ways, namely: By properties of limits and derivatives. By implicit differentiation. By chain rule.
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Let f (x) = sin (x) and g (x) = x 2, then apply the quotient rule: Note that the quotient rule, like the product rule, chain rule, and others, is simply a method of differentiation. It can be used on its
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