Find `(dy)/(dx)`, when: `cot(xy)+xy=y`

1.	Find `(dy)/(dx)`, when: `cot(xy)+xy=y`
Answer» Correct Answer - `(-ycot^(2)(xy))/({1+xcot^(2)(xy)})` `cot(xy)+xy=y` `rArr-"cosec"^(2)(xy).{x(dy)/(dx)+y}+(x(dy)/(dx)+y)=(dy)/(dx)` `rArr{"cosec"^(2)(xy)-1)}.x(dy)/(dx)+(dy)/(dx)={1-"cosec"^(2)(xy)}y` `rArr{xcot^(2)(xy)+1}.(dy)/(dx)=-ycot^(2)(xy).`

Discussion

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