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If y=sqrt((1+e^(x))/(1-e^(x))), show tha...

If `y=sqrt((1+e^(x))/(1-e^(x)))`, show that `(dy)/(dx)=e^(x)/((1-e^(x))sqrt(1-e^(2x)))`.

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Knowledge Check

  • int(e^(x)+1)/(e^(x))dx :

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

  • int(e^(x))/(e^(x)+1)dx= ……………

    A
    `1/2x+c`
    B
    `log(e^(x)+1)+c`
    C
    `x+e^(x)+c`
    D
    `loge^(x)+c`

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