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Simplify the derivative by applying the properties of logarithms
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$\frac{d}{dx}\left(\frac{1}{2}\left(\ln\left(x\right)-\ln\left(2+\sqrt{x^2+4}\right)\right)\right)$
Learn how to solve problems step by step online. Find the derivative of 1/2ln(x/(2+(x^2+4)^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.