Math — Hyperbolic Functions
Definitions, the fundamental identity and a derivative.
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\cosh x = \frac{e^x + e^{-x}}{2}
\sinh x = \frac{e^x - e^{-x}}{2}
\cosh^2 x - \sinh^2 x = 1
\frac{d}{dx}\sinh x = \cosh x
Definitions, the fundamental identity and a derivative.
\cosh x = \frac{e^x + e^{-x}}{2}
\sinh x = \frac{e^x - e^{-x}}{2}
\cosh^2 x - \sinh^2 x = 1
\frac{d}{dx}\sinh x = \cosh x