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Math Help - derivative

  1. #1
    Junior Member
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    derivative

    f(x)=ln((4+x^2)^1/2/x))

    Its the Squ root of 4+x^2 over X
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  2. #2
    Super Member
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    Use chain rule, treat f(x)= ln(x) as your outside function and g(x)= \frac { \sqrt {4+x^2}}{x} as your inside function.

    You should have:

     \frac {d}{dx}  ( \frac { \sqrt {4+ x^2} }{x}) = \frac {1}{ \frac { \sqrt {4+ x^2 }}{x} } ( \frac {d}{dx} \frac { \sqrt {4+ x^2 }}{x}) = \frac {x}{ \sqrt {4+ x^2 }}( \frac {d}{dx} \frac { \sqrt {4+ x^2 }}{x})

    Use the quotient rule for the last derivatives.
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