What is the derivative of the function $f(x)=\sin(x^3+6)$?1$\cos(x^3+6)$2$3x^2\sin(x^3+6)$3$6x\sin(x^3+6)$4$3x^2\cos(x^3+6)$Answer & explanation+Correct answer: option 4$f(x)=\sin(x^3+6)$, then $f'(x)=\cos(x^3+6)\frac{d}{dx}(x^3+6)=\cos(x^3+6)(3x^2)=3x^2\cos(x^3+6)$
