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