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The derivative of a sum of two or more functions is the sum of the derivatives of each function
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$\frac{d}{dx}\left(\ln\left(e^{4x}-1\right)\right)+\frac{d}{dx}\left(-\ln\left(e^{4x}+1\right)\right)$
Learn how to solve problems step by step online. Find the derivative d/dx(ln(e^(4x)-1)-ln(e^(4x)+1)) using the sum rule. The derivative of a sum of two or more functions is the sum of the derivatives of each function. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=. The derivative of the constant function (-1) is equal to zero. Any expression multiplied by 0 is equal to 0.