Answer
$y' = 12x^3-18x^2+\dfrac{1}{4}x$
Work Step by Step
In order to derivate this function you have to apply the power rule:
$\dfrac{d}{dx}(x^n)=nx^{n-1}$
$y' = 3(4)x^3-6(3)x^2+\dfrac{1}{8}(2)x$
$y' = 12x^3-18x^2+\dfrac{1}{4}x$
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