Find the Derivative of the Function $y=(3 x+1)^{9}\left(x^{4}-6\right)^{3}$ A) $y^{\prime}=27(3 x+1)^{8}\left(x^{4}-6\right)^{3}+12 x(3 x+1)^{9}\left(x^{4}-6\right)^{2}$

Multiple Choice

Find the derivative of the function. $y=(3 x+1) ^{9}\left(x^{4}-6\right) ^{3}$

A) $y^{\prime}=27(3 x+1) ^{8}\left(x^{4}-6\right) ^{3}+12 x(3 x+1) ^{9}\left(x^{4}-6\right) ^{2}$
B) $y^{\prime}=27(3 x+1) ^{8}\left(x^{4}-6\right) ^{3}+(3 x+1) ^{9}\left(x^{4}-6\right) ^{2}$
C) $y^{\prime}=27(3 x+1) ^{8}\left(x^{4}-6\right) ^{3}+12 x^{3}(3 x+1) ^{9}\left(x^{4}-6\right) ^{2}$
D) $y^{\prime}=(12 x+27) (3 x+1) ^{9}\left(x^{4}-6\right) ^{3}$
E) $y^{\prime}=(x+1) ^{8}\left(x^{4}-6\right) ^{3}+12 x(3 x+1) ^{9}\left(x^{3}-6\right) ^{2}$