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If y=(e^(4logx)-e^(3logx))/(e^(2logx)-e^...

If `y=(e^(4logx)-e^(3logx))/(e^(2logx)-e^(logx))," then: "(dy)/(dx)=`

A

x

B

2x

C

3x

D

`(logx)/((e^(logx))^(2))`

Text Solution

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Knowledge Check

  • e^(x+2logx)

    A
    `-(x^(2)+2x)e^(x)`
    B
    `(x^(2)+2x)e^(x)`
    C
    `(x^(2)-2x)e^(x)`
    D
    `-(x^(2)-2x)e^(x)`

  • int(e^(5logx)-e^(4logx))/(e^(3logx)-e^(2logx))dx=

    A
    `e.3^(-3x)+c`
    B
    `e^(3)logx+c`
    C
    `x^(3)/3+c`
    D
    None of these

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

    A
    e
    B
    1
    C
    0
    D
    `logx*e^(logex)`

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