You may think it silly that I am about to commit an entire post to the touchpad of the Chromebook, specifically for the HP Chromebook 14, but I assure you there is enough to be said about it. Let's take a look at how it differs from other touchpads and what nifty tricks it has up its sleeve.
Fist and foremost, the Chromebook foregoes the traditional 3 piece model of a touch area, left and right buttons. In place is a single touch area with a single click action to it. The touch area moves the mouse cursor, as expected, and the click operates your primary mouse button click. From here, further actions are made possible through multi-touch capabilities and key combinations.
The annoying method of getting to your right click context menu is to press and hold the Alt key when you click the touchpad. It works, but feels a little ineffective needing to use two hands for this action. Making it much simpler is the multi-touch function, simply perform a click action on the touchpad with two fingers slightly spaced. That's right, a two finger tap is your right click. You may be turned off by this initially, but it grows on you.
You may already be familiar with the Alt + Tab functionality of most operating systems, which works on the Chromebook as well. In addition, you can use a three finger downward swipe of the touchpad to activate an on screen window chooser. It may not be the most convenient interface, but it is crucial functionality when multi-tasking. [Update: For no good reason at all, and with no notification, this functionality is now up-side down. Three finger swipe upward to activate the window chooser.] [Update 2: As of September 3, 2014, it is changed back around again, three finger swipe downward to activate the window chooser.]
Being that the main, and nearly only, interface of the Chromebook is the Chrome web browser, you will spend a lot of time with multiple tabs open. If the act of clicking to activate another tab, or using one of the tab navigating keyboard shortcuts, is not ideal for you, try that three finger swipe side to side to move between active tabs. Again, this may not seem like a big deal, but once you master it, you'll find it a huge time saver.
Please don't think this is a definitive guide for all of your Chromebook touchpad needs, I have done no research to bring you this list, these are just the actions I have found while playing around with the unit these past few days.
Are there any crucial actions that you believe I've missed here?