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The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$
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$3\ln\left(\frac{x^2}{1-x}\right)^{2}\frac{d}{dx}\left(\ln\left(\frac{x^2}{1-x}\right)\right)$
Learn how to solve logarithmic differentiation problems step by step online. Find the derivative using logarithmic differentiation method d/dx(ln((x^2)/(1-x))^3). The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. The logarithm of a quotient is equal to the logarithm of the numerator minus the logarithm of the denominator. Using the power rule of logarithms: \log_a(x^n)=n\cdot\log_a(x). The derivative of a sum of two or more functions is the sum of the derivatives of each function.