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Math Help - More Advanced Derivative Of natural Log

  1. #1
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    More Advanced Derivative Of natural Log

    This one has me stumped

    \ln (\sqrt{(\frac{1-x^2}{x^2+1}})

    | |
    v

    \frac{1}{2} \ln \frac{1-x^2}{x^2 +1}

    This is where im stuck I belive that im right up to this part im not sure if i should do the quotient rule or the log propertie and turn it into a subtraciton problem. I tried turning it into subtraction but i got crazy numbers
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  2. #2
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    Quote Originally Posted by x5pyd3rx View Post
    This one has me stumped

    \ln (\sqrt{(\frac{1-x^2}{x^2+1}})

    | |
    v

    \frac{1}{2} \ln \frac{1-x^2}{x^2 +1}

    This is where im stuck I belive that im right up to this part im not sure if i should do the quotient rule or the log propertie and turn it into a subtraciton problem. I tried turning it into subtraction but i got crazy numbers
    y = \ln {\sqrt{\frac{1-x^2}{x^2+1}}}

    y = \frac{1}{2} \ln(1-x^2) - \frac{1}{2} \ln(x^2+1)<br />

    \frac{dy}{dx} = \frac{x}{x^2-1} - \frac{x}{x^2+1}
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  3. #3
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    Shouldent the x's have coifecents of 2's because the derivative of x^2 is 2x not x?
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  4. #4
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    never mind i see what you did. I totally forgot about the 1/2


    And sorry for double posting
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