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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Differentiate sin2 (sin−1(x2)) w.r. to x

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प्रश्न

Differentiate sin2 (sin−1(x2)) w.r. to x

बेरीज
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उत्तर

Let y = sin2 [sin–1 (x2)]

= [sin{sin–1 (x2)}]2

= (x2)2 

∴ y = x4 

Differentiating w. r. t. x, we get

`("d"y)/("d"x) = "d"/("d"x)(x^4)` = 4x3 

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पाठ 2.1: Differentiation - Short Answers I

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