Find the derivative of the function f(z) = (3z + 4√z - 1)(4√z + 4)f'(z) using the Product Rule. Simplify your answer. What is the simplified form of f'(z)?

Options:
A) 12z + 16√z - 4
B) 12z + 16√z - 1
C) 12z + 16√z + 4
D) 12z + 16√z + 1