If y=e^(1+logx)," then: "(dy)/(dx)...

If `y=e^(1+logx)," then: "(dy)/(dx)`

A

e

B

1

C

0

D

`logx*e^(logex)`

Text Solution

Verified by Experts

The correct Answer is:

A

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Knowledge Check

If y=e^(1+xy)," then "(dy)/(dx)=

A

`(y^(2))/(1+xy)`

B

`(y^(2))/(1-xy)`

C

`(-y^(2))/(1+xy)`

D

`(y^(2))/(xy-1)`

If y = e^(1//x) " then " (dy)/(dx) = ?

A

`(1)/(x).e^((1//x-1))`

B

`(-e^(1//x))/(x^(2))`

C

`e^(1//x) log x`

D

none of these

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

A

` 2x ^((logx-1)) logx `

B

` x^((logx-1))`

C

` (2)/( xlogx )`

D

` x^((logx-1))logx `

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