Home/Differential Calculus/Derivatives of inverse functions/Formula13.2. Derivatives of inverse functionsFormulaIn 13.2. Derivatives of inverse functionsFormulaCopy LaTeX(f−1)′(y)=1f′(f−1(y)),f′(f−1(y))≠0(f^{-1})'(y)=\frac{1}{f'(f^{-1}(y))},\qquad f'(f^{-1}(y))\neq0(f−1)′(y)=f′(f−1(y))1,f′(f−1(y))=0TagsDifferential calculusDerivativeDerivative formulaDerivatives of inverse functionsImplicitVariablesfffFunctionf′f'f′Derivative of fffyyyDependent variableConditionsf′(f−1(y))≠0f'(f^{-1}(y))\neq0f′(f−1(y))=0Found an error? Contact us.