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Differentiate y= ${(6 x^{2} + 7 x)}^{4}$ with respect to x

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$4 {(6 x^{2} + 7 x)}^{3} (12 x + 7)$

$6 (6 x^{2} + 7 x) (12 x + 7)$

$7 {(6 x^{2} + 7 x)}^{3} (12 x + 7)$

$4 {(6 x^{2} + 7 x)}^{2} (12 x + 7)$

answer is A.

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Detailed Solution

$\frac{d}{d x} {(6 x^{2} + 7 x)}^{4} = 4 {(6 x^{2} + 7 x)}^{3} \frac{d}{d x} (6 x^{2} + 7 x) = 4 {(6 x^{2} + 7 x)}^{3} (12 x + 7)$

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