If y= log y x, then (dy)/(dx)=...

If ` y= log _y x, then (dy)/(dx)`=

A

`(1)/( x + log y)`

B

`(1)/(log x (1+y))`

C

`(1)/( x(1+ log y))`

D

`(1)/(y + log x)`

Text Solution

Verified by Experts

The correct Answer is:

C

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If y= log x^x , then (dy)/(dx)=

A

1

B

log x

C

log (ex)

D

None

If y = e^(log x ) , then ( dy)/(dx)

A

` e^(log x ) `

B

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A

`log x x^(log x - 1)`

B

`x^(log x -1) . 2 log x`

C

`x log (log x)`

D

`1/(x log x) cdot x^(log x - 1)`

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