Derivative of Hyperbolic Cosine Function

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

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

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

Also see

 * Derivative of Hyperbolic Sine Function


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


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