Quotient rule
Formula for the derivative of a quotient
In calculus, the quotient rule is a method of finding the derivative of a function that is the ratio of two differentiable functions. Let h ( x ) = f ( x ) g ( x ) {\displaystyle \textstyle h(x)={\frac {f(x)}{g(x)}}} , where both f {\displaystyle f} and g {\displaystyle g} are differentiable and g ( x ) ≠ 0 {\displaystyle g(x)\neq 0} .
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Quotient rule
Formula for the derivative of a quotient
In calculus, the quotient rule is a method of finding the derivative of a function that is the ratio of two differentiable functions. Let h ( x ) = f ( x ) g ( x ) {\displaystyle \textstyle h(x)={\frac {f(x)}{g(x)}}} , where both f {\displaystyle f} and g {\displaystyle g} are differentiable and g ( x ) ≠ 0 {\displaystyle g(x)\neq 0} .
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From Wikipedia
In calculus, the quotient rule is a method of finding the derivative of a function that is the ratio of two differentiable functions. Let h ( x ) = f ( x ) g ( x ) {\displaystyle \textstyle h(x)={\frac {f(x)}{g(x)}}} , where both f {\displaystyle f} and g {\displaystyle g} are differentiable and g ( x ) ≠ 0 {\displaystyle g(x)\neq 0} . The quotient rule states that the derivative of h ( x ) {\displaystyle h(x)} is h ′ ( x ) = f ′ ( x ) g ( x ) − f ( x ) g ′ ( x ) ( g ( x ) ) 2 . {\displaystyle h'(x)={\frac {f'(x)g(x)-f(x)g'(x)}{(g(x))^{2}}}.} It is provable in many ways by using other derivative rules.
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