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(Solved): What is the first derivative of \( f(x)=\ln \left(\frac{3 x^{2}+7 x}{5 x}\right) ? \) Select the co ...
What is the first derivative of \( f(x)=\ln \left(\frac{3 x^{2}+7 x}{5 x}\right) ? \) Select the correct answer below: \[ \begin{aligned} f^{\prime}(x) &=\frac{6 x-7}{3 x^{2}-7 x}-\frac{1}{x} \\ f^{\prime}(x) &=\frac{3 x^{2}+7 x}{6 x+7}-x \\ f^{\prime}(x) &=\frac{6 x+7}{3 x^{2}+7 x}-\frac{1}{x} \\ f^{\prime}(x) &=\frac{6 x+7}{3 x^{2}+7 x}+\frac{1}{x} \end{aligned} \]
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