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Home › AP EAMCET › Mathematics › Differentiation Rules › Setting y = sin^-1 x gives x = sin y, which lead…

Setting y = sin^-1 x gives x = sin y, which leads to dy/dx equal to

A1/sqrt(1-x^2)
B-1/sqrt(1-x^2)
C1/sqrt(x^2-1)
D1/(1+x^2)
Answer & Solution
Correct answer: A. 1/sqrt(1-x^2)
Differentiating x = sin y gives dy/dx = 1/cos y, which is 1/sqrt(1-x^2).
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