How to find derivatives y" = dx/dy?

Question

Mathematics

Hello, in the control you need to solve tasks (attached below), but the task sounds like this:
Find the derivatives y' = dx/dy.
How such problems are solved, if there are links to a topic for study or to similar solved examples, I will be very grateful.

Answer 1

If I understood correctly. You need to find the second order derivatives, i.e. the derivative of the derivative. You find the derivative of a function, then you find the derivative of the derivative of that function.

Answer 2

No way.