Independently of is an incorrect usage.
Here's why:
* Independently means "without relying on or being influenced by anything else."
* From indicates the source or origin of something.
Therefore, "independently from" logically expresses that something is not influenced by something else, indicating the source of that influence.
Here are some examples:
* The two teams worked independently from each other.
* The study was conducted independently from any external funding.
* The witness testified independently from any pressure.