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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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$\frac{d}{dx}\left(2\sqrt[3]{\ln\left(\frac{\left(2-x^2\right)^2}{x}\right)}\right)+\frac{d}{dx}\left(-x\right)$
Learn how to solve problems step by step online. Find the derivative d/dx(2ln(((2-x^2)^2)/x)^1/3-x) using the sum rule. 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. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function.