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If log (x^(2)+y^(2)) = 2 tan ^(-1) (x/y)...

If `log (x^(2)+y^(2)) = 2 tan ^(-1) (x/y) " then show that " (dy)/(dx) = (y-x)/(y +x)`

Text Solution

Verified by Experts

Simply differentiate both sides, as an implicit function and rearrange the terms to obtain
`(dy)/(dx) = (y -x)/(y+x)`
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