Question

Differentiate sin² (x²) w.r.to x²​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

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$\frac{d \: {sin}^{2} {x}^{2} }{d {x}^{2} } \\ = \frac{d \: \: {(sin \: {x}^{2} )}^{2} }{d {x}^{2} } \\ = 2 \times sin \: {x}^{2} \times \frac{d \: \: sin \: {x}^{2} }{d {x}^{2} } \\ = 2sin {x}^{2} \times cos {x}^{2} \\ = sin \:2 {x}^{2}$

Formula :

$2 \: sin \: x \: \times \: cos \: x = \: sin \: 2x \\ \\ \frac{d \: \: sin \: x}{dx} = cos \: x$