Home/Differential Calculus/Product rule/Formula5.2. Product ruleFormulaIn 5.2. Product ruleFormulaCopy LaTeX(fg)′=f′g+fg′(fg)'=f'g+fg'(fg)′=f′g+fg′TagsDifferential calculusDerivativeDerivative formulaRuleProduct ruleExplore the ideaExplore the ideaVariablesfffFunctiongggSecond function or inner compositionf′f'f′Derivative of fffAlso known asregla del productoproduct ruleRelated topicsChain ruleFound an error? Contact us.Related formulasRelatedFormuladdxf(g(x))=f′(g(x))⋅g′(x)\frac{d}{dx}f(g(x))=f'(g(x))\cdot g'(x)dxdf(g(x))=f′(g(x))⋅g′(x)Open formulaOpen in sectionRelatedFormula(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=0Open formulaOpen in sectionRelatedFormuladdx[f(x)±g(x)]=f′(x)±g′(x)\frac{d}{dx}[f(x)\pm g(x)]=f'(x)\pm g'(x)dxd[f(x)±g(x)]=f′(x)±g′(x)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