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y=e^(log[log(logx)])xxlog3x find (dy...

`y=e^(log[log(logx)])xxlog3x` find `(dy)/(dx)`

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Knowledge Check

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

    A
    `(y)/(x)(lnx^(logx-1))+2lnxln(lnx)`
    B
    `(y)/(x)(logx)^(log(logx))(2log(logx)+1)`
    C
    `[(lnx)^(2)+2ln(lnx)]`
    D
    `(y)/(x)(logy)/(logx)(2log(logx)+1)`

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

    A
    `y/x((Inx^(logx-1))+2ln(ln(logx))`
    B
    `y/x(logx)^(log(logx))(2log(logx)+1)`
    C
    `y/(xInx)[(Inx)^2+2ln(logx)]`
    D
    `y/x(logy)/(logx)[2log(logx)+1]`

  • If y = e^(log (log x ))log3 x,then (dy)/(dx)

    A
    ` (3log x +log3x) /( x ) `
    B
    ` (3log x +log3x) /(3 x ) `
    C
    ` (log x +log3x) /( x ) `
    D
    ` (log x +log3x) /(3 x ) `

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