Answer:
(i) The derivative of the function is
.
(ii) The domain of all first order polynomials (linear functions) is the set of all real numbers. That is:

The domain of all zero order polynomials (constant functions) is the set of all real numbers. That is:

Explanation:
(i) Find the derivative of the function using the definition of derivative:
The derivative is defined by the following limit:
(1)
If we know that
, then the definition of derivative is expanded:




The derivative of the function is
.
(ii) State the domain of the function and the domain of its derivative:
The domain of all first order polynomials (linear functions) is the set of all real numbers. That is:

The domain of all zero order polynomials (constant functions) is the set of all real numbers. That is:
