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Iftan^(-1)((2x)/(1-x^2)),then find dy/dx...

If`tan^(-1)((2x)/(1-x^2))`,then find `dy/dx`

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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  • If y=tan^(-1)((sqrt(1+x^(2))-1)/(x)) and z=tan^(-1)((2x)/(1-x^(2))) , then (dy)/(dz) is equal to -

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