Home/Differential Calculus/A.4 Hyperbolic/FormulaA.4 HyperbolicFormulaIn A.4 HyperbolicFormulaCopy LaTeXddx(sech x)=−sech xtanhx\frac{d}{dx}(\mathrm{sech}\,x)=-\mathrm{sech}\,x\tanh xdxd(sechx)=−sechxtanhxTagsA.4 HyperbolicDifferential calculusDerivativeDerivative formulaTableVariablesxxxIndependent variablef′f'f′Derivative of fffdxdxdxDifferential of xxxFound an error? Contact us.Related formulasRelatedFormuladdx(cothx)=−csch2x\frac{d}{dx}(\coth x)=-\mathrm{csch}^2 xdxd(cothx)=−csch2xOpen formulaOpen in sectionRelatedFormuladdx(csch x)=−csch xcothx\frac{d}{dx}(\mathrm{csch}\,x)=-\mathrm{csch}\,x\coth xdxd(cschx)=−cschxcothxOpen formulaOpen in sectionRelatedFormuladdx(tanhx)=sech2x\frac{d}{dx}(\tanh x)=\mathrm{sech}^2 xdxd(tanhx)=sech2xOpen formulaOpen in sectionRelatedFormuladdx(coshx)=sinhx\frac{d}{dx}(\cosh x)=\sinh xdxd(coshx)=sinhxOpen formulaOpen in sectionRelatedFormuladdx(sinhx)=coshx\frac{d}{dx}(\sinh x)=\cosh xdxd(sinhx)=coshxOpen formulaOpen in section