Home/Differential Calculus/Appendix A: extended derivative table/A.4 HyperbolicContentA.4 HyperbolicFormulaCopy LaTeXddx(sinhx)=coshx\frac{d}{dx}(\sinh x)=\cosh xdxd(sinhx)=coshxView detail →FormulaCopy LaTeXddx(coshx)=sinhx\frac{d}{dx}(\cosh x)=\sinh xdxd(coshx)=sinhxView detail →FormulaCopy LaTeXddx(tanhx)=sech2x\frac{d}{dx}(\tanh x)=\mathrm{sech}^2 xdxd(tanhx)=sech2xView detail →FormulaCopy LaTeXddx(cothx)=−csch2x\frac{d}{dx}(\coth x)=-\mathrm{csch}^2 xdxd(cothx)=−csch2xView detail →FormulaCopy LaTeXddx(sech x)=−sech xtanhx\frac{d}{dx}(\mathrm{sech}\,x)=-\mathrm{sech}\,x\tanh xdxd(sechx)=−sechxtanhxView detail →FormulaCopy LaTeXddx(csch x)=−csch xcothx\frac{d}{dx}(\mathrm{csch}\,x)=-\mathrm{csch}\,x\coth xdxd(cschx)=−cschxcothxView detail →
FormulaCopy LaTeXddx(tanhx)=sech2x\frac{d}{dx}(\tanh x)=\mathrm{sech}^2 xdxd(tanhx)=sech2xView detail →
FormulaCopy LaTeXddx(cothx)=−csch2x\frac{d}{dx}(\coth x)=-\mathrm{csch}^2 xdxd(cothx)=−csch2xView detail →
FormulaCopy LaTeXddx(sech x)=−sech xtanhx\frac{d}{dx}(\mathrm{sech}\,x)=-\mathrm{sech}\,x\tanh xdxd(sechx)=−sechxtanhxView detail →
FormulaCopy LaTeXddx(csch x)=−csch xcothx\frac{d}{dx}(\mathrm{csch}\,x)=-\mathrm{csch}\,x\coth xdxd(cschx)=−cschxcothxView detail →