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