What is the missing portion of f ′ for f of x equals 2 times e to the power of quantity 2 x squared minus x end quantity over the quantity of square root of 3 x cubed plus sin squared of quantity 3 x? (10 points)
f prime of x equals quantity open parenthesis square root of 3 times x cubed plus sine squared of 3 times x close parenthesis times 2 times e to the power 2 times x squared minus x times quantity 4 times x minus 1 end quantity minus 2 times e to the power 2 times x squared minus x open bracket quantity question mark end quantity plus 2 times sine of 3 times x times cosine of 3 times x times 3 end bracket end quantity divided by quantity square root of 3 times x cubed plus sine squared of 3 x end quantity squared
1 half times the quantity 3 x cubed end quantity to the negative one half
1 half times the quantity 3 x cubed end quantity to the negative one half times 9 x squared
1 half times the quantity 3 x cubed end quantity times 9 x squared
1 half times the quantity 9 x squared end quantity to the negative 1 half times 18 x