AS/A2 Pure 4 Pure 6

P5 Topic 2: Hyperbolic functions
Graphs and properties: arc sinh(ax) and logs
Move the point a left or right to change the value of the parameter a in the graphs of y = arcsinh(ax) and y = ln[ax + Ö(1 + (ax)2)]. What do you notice?

y = arcsinh(ax)	y = ln[ax + Ö(1 + (ax)2)]

Summary clearly arcsinh(ax) = ln[ax + Ö(1 + (ax)2)] The Plane Graphic Calculator java applet