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If y=tan^-1(cotx)+cot^-1(tanx), find (dy...

If `y=tan^-1(cotx)+cot^-1(tanx),` find `(dy)/dx`.

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`y=tan^-1(cotx)+cot^-19tanx)=tan^-1tan(pi/2-x)+cot^-1cot(pi/2-x)=pi/2-x+pi/2-x=pi-2xrArr(dy)/dx=-2`
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