Home/Differential Calculus/Quotient rule/Formula5.3. Quotient ruleFormulaIn 5.3. Quotient ruleFormulaCopy LaTeX(fg)′=f′g−fg′g2,g≠0\left(\frac{f}{g}\right)'=\frac{f'g-fg'}{g^2},\qquad g\neq0(gf)′=g2f′g−fg′,g=0TagsDifferential calculusDerivativeDerivative formulaRuleQuotient ruleVariablesfffFunctiongggSecond function or inner compositionf′f'f′Derivative of fffConditionsg≠0g\neq0g=0Also known asregla del cocientequotient ruleRelated topicsChain ruleFound an error? Contact us.Related formulasRelatedFormula(fg)′=f′g+fg′(fg)'=f'g+fg'(fg)′=f′g+fg′Open formulaOpen in sectionRelatedFormuladdx[f(x)g(x)h(x)]=f′gh+fg′h+fgh′\frac{d}{dx}[f(x)g(x)h(x)]=f'gh+fg'h+fgh'dxd[f(x)g(x)h(x)]=f′gh+fg′h+fgh′Open formulaOpen in section