Here is the link that goes through support.dell.com and should take you directly to the Dell Inspiron 510m drivers and downloads page:
If for some reason this link does not work you can do the following:
1. Goto support.dell.com
2. Select drivers and downloads from the middle of the screen
3. From this point you can either select to enter your service tag number (should be on your pc) or you can do like I did and select Laptop, then Inspiron, then scroll down to 510m (you will actually have to scroll down to the 5000s because it is not listed from smallest to largest)
4. Once you have selected the 510m model it will bring you to the same page as I have linked above.
Finding your drivers -
I only saw one file listed under Audio so you could start there. Just expand the selection titled audio and it will give you options to download the file and install it just like any other installation.
Sound drivers usually require a reboot so anticipate this.
For the network driver I think I only saw one actual Lan card driver listed and it was towards the bottom under the selection titled Network.
It was the 10th one down and it is titled Intel Driver - (R) PRO/100 VE Network Connection.
Download and install that and hopefully that gets you going.