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Simplify the derivative by applying the properties of logarithms
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$\frac{d}{dx}\left(3\ln\left(x\right)+\frac{1}{2}x+\frac{1}{2}\ln\left(3x^2\right)-2\ln\left(x+1\right)-3\ln\left(x-1\right)\right)$
Learn how to solve problems step by step online. Find the derivative of ln((x^3(3e^xx^2)^1/2)/((x+1)^2(x-1)^3)). Simplify the derivative by applying the properties of logarithms. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of the linear function times a constant, is equal to the constant. The derivative of the linear function is equal to 1.