Final answer:
The derivative of the function f(x) = 2x + 2 is 2. The domain of the derivative is all real numbers.
Step-by-step explanation:
To find the derivative of the function f(x) = 2x + 2, we can use the power rule. The power rule states that the derivative of x^n is n*x^(n-1). In this case, the derivative of 2x is 2. Therefore, F prime of x is 2. The domain of F prime is the same as the domain of the original function, which is all real numbers.