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Prajju (203)

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Olaaa!! Perrrfect answer. 31  [55 rates]

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sec-1 function is <=-1 & >=1
so let us bound it ---------
2x/(1+x^2) >=1
=> 2x > = 1 + x^2 ( since 1 + x^2 is+ve so it cud be cross multiplied)
=> 0 > = (1-x)^2 which is not possible so sec-1 { 2x / (1 + x^2 ) }will not be defined and so it wont be differentiated..........
thus,
now if we naglect sec-1 fun.......
y= { sin-1[(x - 1) / (x + 1)] }
now since x lies bet 0 to1 therefore (x - 1) / (x + 1)wud be -ve
so y = { sin-1[- (1 - x)/(1 + x )]}
and now differentiate.........
Hope you are able to understand........plz solve and tell me wether my approach is correct or not........

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