Home/Differential Calculus/Chain rule/Formula5.4. Chain ruleFormulaIn 5.4. Chain ruleFormulaCopy LaTeXdydx=dydu⋅dudx\frac{dy}{dx}=\frac{dy}{du}\cdot\frac{du}{dx}dxdy=dudy⋅dxduTagsDifferential calculusDerivativeDerivative formulaRuleChain ruleDetailLeibniz notation for composition.VariablesdydydyDifferential of yyydxdxdxDifferential of xxxdududuDifferential of uuuRelated 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 section