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Simplify the derivative by applying the properties of logarithms
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$\frac{d}{dx}\left(\frac{1}{2}\left(\ln\left(1+\sin\left(x\right)\right)-\ln\left(1-\sin\left(x\right)\right)\right)\right)$
Learn how to solve problems step by step online. Find the derivative of ln(((1+sin(x))/(1-sin(x)))^1/2). Simplify the derivative by applying the properties of logarithms. The derivative of a function multiplied by a constant (\frac{1}{2}) 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. The derivative of a function multiplied by a constant (-1) is equal to the constant times the derivative of the function.