If y = (log x)ˢⁱⁿˣ, find dy/dx.

Options

• Option A

  (log x)ˢⁱⁿˣ[cos x·log(log x)+sin x/(x log x)]

• Option B

  (log x)ˢⁱⁿˣ

• Option C

  -((log x)ˢⁱⁿˣ[cos x·log(log x)+sin x/(x log x)])

• Option D

  0