Best way to learn differentiable computing?

Specific Domains Machine Learning
1

What would be the best resource to get started?
Also, what would be the ‘state of the art’ in this area right now?

2

For understanding the theory, I would start with the relevant chapter in

Then

https://mitmath.github.io/18337/#lecture-11-differentiable-programming-and-neural-differential-equations

is a nice intro.

For a recent overview on the ecosystem,

There are many more resources if you have specific questions.