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If x^(y)=logx" then "((dy)/(dx))atx=e is...

If `x^(y)=logx" then "((dy)/(dx))atx=e` is

A

0

B

1

C

e

D

`1//e`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • If y=x^(logx) ,then (dy)/(dx)=

    A
    ` 2x ^((logx-1)) logx `
    B
    ` x^((logx-1))`
    C
    ` (2)/( xlogx )`
    D
    ` x^((logx-1))logx `
  • If y=e^(1+logx)," then: "(dy)/(dx)

    A
    e
    B
    1
    C
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    D
    `logx*e^(logex)`
  • If ysinx=x+y," then "((dy)/(dx))atx=0 is

    A
    1
    B
    `-1`
    C
    0
    D
    2
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