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Calculus

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why does ln(1/x)= -1/x ?

  • Calculus -

    is that the derivative? if it is,
    ln(1/x) can be written as:
    ln (x^-1) = -ln(x)
    since the derivative of ln (x) is 1/x, then
    derivative of -ln(x) = ln(1/x)= -1/x

    hope this helps.

  • Calculus -

    ohhh~ Thank You!

  • Calculus -

    ln(1/x)= ln(1)-ln(x)
    ln(1))=0

    ln(1)-ln(x)=0-ln(x)= -ln(x)

    ln(1/x)=-ln(x)

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