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Find (dy)/(dx) for the function: y=logsq...

Find `(dy)/(dx)` for the function: `y=logsqrt(sinsqrt(e^x))`

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(4)e^(x//2)cot (e^(x//2))`
`(d)/(dx)[logsqrt(sin)sqrt(e^(x))]=(d)/(dx)[(1)/(2)log (sinsqrt(e^(x)))]`
`=(1)/(2)cot sqrt(e^(x))(1)/(2sqrt(e^(x)))e^(x)=(1)/(4)e^(x//2)cot (e^(x//2))`
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