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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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$\frac{d}{dx}\left(6x\right)+\frac{d}{dx}\left(-8y^{x\ln\left(y\right)}\right)$
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx(6x-8y^(xln(y))) 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 (-8) is equal to the constant times the derivative of the function.