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Differentiate the functions with respect...

Differentiate the functions with respect to x`2sqrt(cot(x^2))`

Text Solution

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Let y `2sqrt(cot(x^(2)) `
`rArr (dy)/(dx) = 2 (d)/(dx)sqrtcot (x^(2))`
`= 2(d)/(dx)[cot (x^(2))] ^(1//2).`
`= 2(1)/(2)[cot (x^(2))] ^(1//2).(d)/(dx) cot(x^(2))`
`= (-cosec^(2)(x^(2)))/ sqrt(cot(x^(2)))(d)/(dx)(x^(2))`
`= (2xcosec^(2)(x^(2)))/ sqrt(cot(x^(2)))`
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