Differentiate Sin2 (2x + 1) ? - Mathematics

Question

Differentiate sin² (2x + 1) ?

Solution

$Let y = \sin^{2} (2 x + 1)$

$Differentiate it with respect to x we get,$

$\frac{d y}{d x} = \frac{d}{d x} [\sin^{2} (2 x + 1)]$

$= 2 \sin (2 x + 1) \frac{d}{d x} \sin (2 x + 1) [using chain rule]$

$= 2 \sin (2 x + 1) \cos (2 x + 1) \frac{d}{d x} (2 x + 1) [using chain rule]$

$= 4 \sin (2 x + 1) \cos (2 x + 1)$

$= 2 \sin 2 (2 x + 1) [∵ \sin 2 A = 2 \sin A \cos A]$

$= 2 \sin (4 x + 2)$

$S o, \frac{d}{d x} {\sin^{2} (2 x + 1)} = 2 \sin (4 x + 2)$

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Simple Problems on Applications of Derivatives

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Q 7 Q 6 Q 8

Chapter 11: Differentiation - Exercise 11.02 [Page 37]

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Chapter 11 Differentiation
Exercise 11.02 | Q 7 | Page 37

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Differentiate Sin2 (2x + 1) ? - Mathematics

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