The curve is
.

Apply deriative on each side with respect to
.

Derivative of hyperbolic function :
.

The slope of the curve is
.
Therefore
.
Definition of hyperbolic trigonometry :
.



.
Hence
.

The function is
.
Substitute
in the above function.

Definition of hyperbolic trigonometry :
.
Substitute
in the above equation.





Therefore the point is
.
The point is
.