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in Continuity and Differentiability by (36.2k points)
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Differentiate tan-1 \(\frac{x}{\sqrt{1-x^2}}\) with respect to sin-1(2x\(\sqrt{1-x^2}\)).

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Let tan-1 \((\frac{x}{\sqrt{1-x^2}})\) with respect to sin-1(2x\(\sqrt{1-x^2}\))

We have to determine \(\frac{du}{dv}\) 

[Note : Here the range of x is taken as \(-\frac{1}{\sqrt2}<x<\frac{1}{\sqrt2}\)]

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