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Differentiate sin2 (sin−1(x2)) w.r. to x - Mathematics and Statistics

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प्रश्न

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

योग

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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अध्याय 2.1: Differentiation - Short Answers I

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