The hyperbolic function sinh x is the hyperbolic sine function, which is defined for real numbers by the formula sinh(x) = (ex - e-x)/2. It is one of the two basic hyperbolic functions, the other being cosh x. The hyperbolic functions are analogous to the trigonometric functions, but they use the natural exponential function ex instead of the circular functions sin(x) and cos(x) . Some properties of sinh x include:
- sinh(-x) = -sinh(x)
- sinh(0) = 0
- The graph of sinh x is always between the graphs of ex/2 and e-x/2.
- The derivative of sinh x is cosh x.
