Hallar la derivada de la función ㏑ (3x+1 ÷ 2x)

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Hallar la derivada de la función

㏑ (3x+1 ÷ 2x)

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    2021-09-10T04:53:59+00:00

    So,

    Use the Chain Rule: f(g(x)) –> f'(g(x))g'(x)

    But first, rewrite the function using log properties.

    ln(\frac{3x+1}{2x})=ln(3x+1)-ln(2x)

    Now, apply the Chain Rule.

    \frac{dy}{dx}=\frac{3}{3x+1}-\frac{2}{2x}=\frac{3}{3x+1}-\frac{1}{x}

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