1.

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

Answer»

SOLUTION :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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