System that has derivative of input is non causal

1. Is derivative causal or non causal?
2. Which system is non causal system?
3. How do you know if a system is causal or Noncausal?
4. What is the difference between non causal and anti causal systems?

Is derivative causal or non causal?

Quote: Summary: differentiation is causal for physical signals; differentiation does not predict (actually) the future; differentiation is not (exactly and in all circumstances) realizable; differentiation can be implemented for given, carefully guaranteed cases, and only approximately if written in computer code.

Which system is non causal system?

A system whose output or response at any time instant (t) depends upon future values of the input is called the non-causal system. The non-causal systems can generate an output before the input is given, hence they are also known as anticipative systems.

How do you know if a system is causal or Noncausal?

A system is said to be causal if its output depends upon present and past inputs, and does not depend upon future input. For non causal system, the output depends upon future inputs also. For present value t=1, the system output is y(1) = 2x(1) + 3x(-2).

What is the difference between non causal and anti causal systems?

A system that has some dependence on input values from the future (in addition to possible dependence on past or current input values) is termed a non-causal or acausal system, and a system that depends solely on future input values is an anticausal system.