Find the derivative of the function g(x)=(1)/(8+\√(x)) using the definition of derivative. State the domain of the function using interval notation. Which of the following represents the derivative g^(')(x)?
Options:
a) (1)/(2(8+\√(x))²)
b) (1)/(2(8-\√(x))²)
c) (1)/(2(8+\√(x)))
d) (1)/(2(8-\√(x)))