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/(2x1/2) - 1/(2x1/2)
Cancel 6 with 2 and x2 with x1/2 => y= 3x3/2 - x-1/2/2
2nd Step: Differentiate:
dy/dx= (9/2)x1/2 + (1/4)x-3/2
ES
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