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Find derivatives of the following functi...

Find derivatives of the following functions.
`cot^-1frac{sqrt(1-x^2)}{x}`

Text Solution

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`y=cot^(-1)frac{sqrt(1-x^2)}{x}`
`[Put x=sin theta`
`cot^(-1)fracsqrt(1-sin^2theta)sintheta=cot^(-1)fraccosthetasintheta`
`cot^(-1)cottheta=theta =sin^(-1)x`
`dy/dx=1/sqrt(1-x^2)`
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