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Find dy/dx if y=sin inverse (2x/1+x^2)

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show that (i) sin-1(2x√(1-x^2))=2sin-1 x and (ii) sin-1(2x√(1-x^2))=2cos-1 x

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The derivative of `sin^(-1)((2x)/(1+x^(2)))` with respect to `cos^(-1)((1-x^(2))/(1+x^(2)))` is

Find the derivative of 𝒀=𝒂𝒓𝒄 𝒔𝒊𝒏 (𝟐𝒙/(𝟏+𝒙^𝟐)) plus the graphs, Domains of 𝒀 and 𝒀′ and the asymptote

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