Differentiate with respect to x: y=(6x^2-1)/2sqrt(x)

1st Step: Must separate the fractions and simplify:

y= (6x²-1)/2sqrt(x)= 6x²/(2x^1/2) - 1/(2x^1/2) 

Cancel 6 with 2 and x² with x^1/2 => y= 3x^3/2 - x^-1/2/2

2nd Step: Differentiate:

dy/dx= (9/2)x^1/2 + (1/4)x^-3/2