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find (dy)/(dx) , when y = sin u,, u = ...

find ` (dy)/(dx)` , when ` y = sin u`,, `u = e^(sqrt t)` and` t = log x `

Text Solution

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` d/(dx) y = (dy)/(du) . (du)/(dt) . (dt)/(dx)`
` cos .e^(sqrtt) . 1/ (2sqrtt) . 1/x`
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