My iPad is running slow and seems to get bogged down after a few hours. This is not an uncommon problem, and it is usually caused by a misbehaving application or an app that is running in the background and taking up too much memory or processing power. Luckily, this is also relatively easy to fix.
Step 1: The first thing to try is to purge your most recent apps from memory. The iPad multitasks by suspending applications that are no longer active, but allowing a portion of the application to keep running. To close the application, you need to get to your task bar. You can do this by double clicking the home button at the bottom of your iPad. OR use 4 fingers to swipe up - if you have multigestures turned on. The multitasking task bar will come up showing your most recently used apps.
Step 2: Simply touch an application and hold your finger down until the icons begin wiggling. Small red circles with a minus sign in the middle will appear on the top of the icons. At this point, you can simple touch the red circle to close an app. Go ahead and close the first four or five apps and see if that helps. If it doesn't, try closing a few more, but if that doesn't work, proceed to step 3.
Step 3: Sometimes closing down apps simply won't do the trick. In this case, rebooting the iPad is the best recourse. To reboot the iPad, hold down the sleep/wake button button until instructions appear telling you to slide a button to power off the iPad. After the iPad's screen goes completely dark, it is powered down and you can start it back up again by holding down the sleep/wake button again.
Your iPad should boot up shortly and be responding much better. If you continually find that your iPad slows down after use, try to keep in mind the apps that are running at the time. Sometimes, a single app can cause the iPad to begin performing poorly.