Derivative of Hyperbolic Sine Function

Theorem
Let $u$ be a differentiable real function of $x$.

Then:
 * $\map {\dfrac \d {\d x} } {\sinh u} = \cosh u \dfrac {\d u} {\d x}$

where $\sinh$ is the hyperbolic sine and $\cosh$ is the hyperbolic cosine.

Also see

 * Derivative of Hyperbolic Cosine Function


 * Derivative of Hyperbolic Tangent Function
 * Derivative of Hyperbolic Cotangent Function


 * Derivative of Hyperbolic Secant Function
 * Derivative of Hyperbolic Cosecant Function