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