Find the derivative of the function: 6√(x) - 4/x^9. Type your answer without fractional or negative exponents. Use √(x) for √(x).

Which of the following options correctly represents the derivative of the given function?

A) 6/(2√(x)) + (36)/(x^10)
B) 6/(2√(x)) - (36)/(x^10)
C) 6/(2√(x)) + (36)/(x^8)
D) 6/(2√(x)) - (36)/(x^8)