Differentiation of ${(2 x + 3)}^{6}$ with respect to $x$ is

12 {(2 x + 3)}^{5}

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6 {(2 x + 3)}^{5}

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3 {(2 x + 3)}^{5}

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6 {(2 x + 3)}^{6}

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Solution

The correct option is A $12 {(2 x + 3)}^{5}$
Given, $(2 x + 3)^{6}$

Differentiating with respect to $x$ ,

By chain rule,

$\frac{d (2 x + 3)^{6}}{d x} = \frac{d (2 x + 3)^{6}}{d (2 x + 3)} . \frac{d (2 x + 3)}{d x}$

$= 6 (2 x + 3)^{5} \times 2 = 12 (2 x + 3)^{5}$

Option A is correct.

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