双曲正弦双曲余弦双曲正切表达式\(\sinhx=\frac{e^{x}-e^{-x}}{2}\)\(\coshx=\frac{e^{x}+e^{-x}}{2}\)\(\tanhx=\frac{e^{x}-e^{-x}}{e^{x}+e^{-x}}\)对称性奇函数偶函数奇函数值域\(\mathbb{R}\)\([1,+\infty)\)\((-1,1)\)单调性严格增在\([

Differentiation$$y=\sinh^{-1}x\quad\Longrightarrow\quadx=\sinhy\\\frac{{\rmd}x}{{\rmd}y}=\coshy=\sqrt{(\sinhy)^2+1}=\sqrt{x^2+1}\\[6pt]y=\cosh^{-1}x\quad\Longrightarrow\quadx=\coshy\\\frac{{\rmd}x}{{\rmd}y}=\sinhy=\

描述COSH函数返回数字的双曲余弦值。语法COSH(number)争论Argument描述Required/OptionalNumberAnyrealnumberforwhichyouwanttofindthehyperboliccosine.RequiredNotes双曲余弦的公式为-$$COSH\left(z\right)=\frac{e^2+e^{-2}}{2}$$适用