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Differentiate the following w.r.t. x:sqr...

Differentiate the following w.r.t. x:`sqrt(e^(sqrt(x))), x >0`

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`" Let"y = sqrt(e^sqrt(x))`
`rArr (dy)/(dx) = (d)/(dx) sqrt(e^sqrt(x)) = (1)/(2sqrt(e^(sqrt(x))))*(d)/(dx)*e^(sqrt(x)`
`=(e^(sqrt(x)))/(2sqrt(e^(sqrt(x))))*(d)/(dx)sqrt(x)`
`=(e^(sqrt(x)))/(2sqrt(e^(sqrt(x))))*(1)/(2sqrt(x)) = (e^(sqrt(x)))/(4sqrt(x*e^(sqrt(x))))`
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