Given the function f(x) = 5√(x-4), find f^'(x) using the limit definition of the derivative. What is the value of f^'(x)?
Options:
A) 5√(x-4)
B) 5/(2√(x-4))
C) 5/(2(x-4)^(3/2))
D) 5/(2(x-4))