I would write it as
y = (8x^3)(3x-2)^(-1/2) and use the product rule
dy/dx = (8x^3)(-1/2)(3x-2)^(-3/2) (3) + 24x^2 (3x-2)^(1/2)
I will let you clean it up a bit
How would I find the derivative of (8x^3)/sqrt(3x-2)?
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