Given a function with the following properties: i. f(x+h) = eʰf(x) ⋅ eᶠ⁽ʰ⁾ for all real numbers x and h ii. f(x) has a derivative for all real numbers iii. f(0) = 2 What is the value of f'(0)?

A) 2
B) e²
C) 0
D) e² + 2