Update kernel

Call me dumb, but every few weeks I check my kernel, check the current one and then decide to update, but notice that I can’t remember the needed commands. First try is always “sudo kernelupdate”, which never succeeds 😉
Of course: Linux Mint is the target. For all other Ubuntu-based distros it should work as well.
Therefore: check http://kernel.ubuntu.com/~kernel-ppa/mainline/ and adapt ..