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Find derivatives of the following functi...

Find derivatives of the following functions.
`cot^(-1)sqrtx`

Text Solution

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`y=cot^(-1)sqrtx`
Then` dy/dx=-1/(1+(sqrtx)^2).d/dx(sqrtx)``[becaused/dx(cot^-1u)=-1/(1+u^2).(du)/dx`
`=-1/(1+x).1/(2sqrtx)=-1/(2(sqrtx+x^(3//2))`
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