Determine h^(')(x) if h(x)=log_(5)(4x3+3x2+6x). Which of the following options correctly represents the derivative of h(x)?

A) ((ln5)(12x2+6x+6))/(4x3+3x2+6x)
B) log_(5)(12x2+6x+6) (12x2+6x+6)/(4x3+3x2+6x)
C) (1)/((ln5)(4x^(
D) None of the above