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find the derivative  of one function w.r.t another function


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find the derivative  of  arccos[ (1- x²) / (1 + x²) ] w.r.t arctan(x)
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take u=arccos[ (1- x²) / (1 + x²) ] , v = arctan(x)
use trigonometric substitution to simplify u=arccos[ (1- x²) / (1 + x²) ]
find du/dx and dv/dx
then take the ratio

answer and  some steps are given below
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problems on integration






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