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Find the derivative of tan^(-1)""(2x)/(1...

Find the derivative of `tan^(-1)""(2x)/(1-x^(2))" w.r.t. "sin^(-1)""(2x)/(1+x^(2)),|x|lt1.`

Text Solution

Verified by Experts

The correct Answer is:
1
`"Let "y=tan^(-1)""(2x)/(1-x^(2))=2tan^(-1)x`
`"and "z= sin^(-1)""(2x)/(1+x^(2))=2tan^(-1)x`
`therefore" "(dy)/(dx)=1`
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