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Ify=x^((lnx)^ln(lnx)) , then (dy)/(dx) i...

If`y=x^((lnx)^ln(lnx))` , then `(dy)/(dx)` is equal to

A

`(y)/(x)(lnx^(lnx-1)+2ln+(lnx))`

B

`(y)/(x)(lnx)^(ln(lnx))(ln(lnx)+1)`

C

`(y)/(xlnx)((nx)^(2)+2lnx(lnx))`

D

`(y)/(x).(lny)/(lnx)(2ln(lnx)+1)`

Text Solution

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The correct Answer is:
D
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ARIHANT MATHS ENGLISH-DIFFERENTIATION -Exercise (More Than One Correct Option Type Questions)
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