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Find dy/dx of y=cos^-1frac(1-x^2)((1+x...

Find `dy/dx` of
`y=cos^-1frac(1-x^2)((1+x^2))`, ``0``<``x``<``1``

Text Solution

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`y=cos^-1((1-x^2)/(1+x^2))=2tan^-1xtherefore(dy)/(dx)=2xx1/(1+x^2)=2/(1+x^2)cos^-1((1-x^2)/(1+x^2))=2tan^-1x`
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