The hyperbolic sine of u is defined as sinh u = = (e - e -") . The hyperbolic cosine of u is defined as y = sinh x y = cosh x Ay + Ay cosh u = 7 (e" + e -) . The graphs of y = sinh x and y = cosh x are shown on the right. X These functions are called hyperbolic functions since, if x = cosh u and y = sinh u, x and y satisfy the X equation of the hyperbola x2 - y2 = 1. Show that d du d dx sinh u = cosh u- du and dx dx cosh u = sinh u- where u is a function of x. dx . . . d First, find dx sinh u. Use the constant multiple rule and the derivative of a difference to rewrite the derivative. d d 1 dx sinh u = dx 2 ( e" - e - u) ) d d dx dx (Type the terms of your expression in the same order as they appear in the original expression.)