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यदि `y=tan^(-1)(cotx)+cot^(-1)(tanx)`, सिद्ध करें कि `(dy)/(dx)= -2`

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यदि `y=tan^(-1)(cotx)+cot^(-1)(tanx)`, सिद्ध करें कि `(dy)/(dx)= -2`
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Correct Answer - `-(1)/(2(1+x^(2)))`
`y=tan^(-1){tan((1)/(2)pi-x)}+cot^(-1){cot((1)/(2)pi-x)}`
`=((1)/(2)pi-x)+((1)/(2)pi-x)=pi-2x`
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