Answer
$y'=6sin(x^3)cos(x^3)-2x^{-3}sin^2(x^3)$
Work Step by Step
Take the derivative of the equation using Power Rule, Product Rule, Trigonometric derivative, and Chain Rule:
$y'=x^{-2}\times2sin(x^3)\times cos(x^3)\times3x^2-2x^{-3}sin^2(x^3)$
$=6sin(x^3)cos(x^3)-2x^{-3}sin^2(x^3)$
