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