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

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

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Knowledge Check

  • If y=(logx)^3 then (dy)/(dx) =

    A
    `(3(logx)^2)/x`
    B
    `3(logx)^2`
    C
    `((logx)^2)/x`
    D
    `(logx)^2`

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

    A
    0
    B
    1
    C
    e
    D
    `1//e`

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