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Find the derivative of tan^-1 (sqrt(1-x^...

Find the derivative of `tan^-1 (sqrt(1-x^2)/x)`with respect to `cos^-1x` .

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Let `u=tan^-1(sqrt(1-x^2)/x)` and `v=cos^-1 x .thereforex=cosvrArru=tan^-1(sqrt(1-cos^2v)/cosv)=tan^-1 (tanv)=vrArrdu/dv=1`
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MBD PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
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  2. If x^yy^x=1, find dy/dx.

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  3. Find the derivative of tan^-1 (sqrt(1-x^2)/x)with respect to cos^-1x .

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