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Using the power rule of logarithms: $\log_a(x^n)=n\cdot\log_a(x)$
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$\frac{d}{dx}\left(\frac{1}{5}\ln\left(\frac{x^2+1}{1-x^2}\right)\right)$
Learn how to solve problems step by step online. Find the derivative of ln(((x^2+1)/(1-x^2))^1/5). Using the power rule of logarithms: \log_a(x^n)=n\cdot\log_a(x). The logarithm of a quotient is equal to the logarithm of the numerator minus the logarithm of the denominator. The derivative of a function multiplied by a constant (\frac{1}{5}) is equal to the constant times the derivative of the function. The derivative of a sum of two or more functions is the sum of the derivatives of each function.