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Find the Derivative of the Function y=(3x+1)9(x4−6)3y=(3 x+1)^{9}\left(x^{4}-6\right)^{3} A) y′=27(3x+1)8(x4−6)3+12x(3x+1)9(x4−6)2y^{\prime}=27(3 x+1)^{8}\left(x^{4}-6\right)^{3}+12 x(3 x+1)^{9}\left(x^{4}-6\right)^{2}

Question 43

Multiple Choice

Find the derivative of the function. y=(3x+1) 9(x4−6) 3y=(3 x+1) ^{9}\left(x^{4}-6\right) ^{3}


A) y′=27(3x+1) 8(x4−6) 3+12x(3x+1) 9(x4−6) 2y^{\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′=27(3x+1) 8(x4−6) 3+(3x+1) 9(x4−6) 2y^{\prime}=27(3 x+1) ^{8}\left(x^{4}-6\right) ^{3}+(3 x+1) ^{9}\left(x^{4}-6\right) ^{2}
C) y′=27(3x+1) 8(x4−6) 3+12x3(3x+1) 9(x4−6) 2y^{\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′=(12x+27) (3x+1) 9(x4−6) 3y^{\prime}=(12 x+27) (3 x+1) ^{9}\left(x^{4}-6\right) ^{3}
E) y′=(x+1) 8(x4−6) 3+12x(3x+1) 9(x3−6) 2y^{\prime}=(x+1) ^{8}\left(x^{4}-6\right) ^{3}+12 x(3 x+1) ^{9}\left(x^{3}-6\right) ^{2}

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