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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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$\frac{d}{dx}\left(x^3\right)+\frac{d}{dx}\left(-3x^2y\right)+\frac{d}{dx}\left(2x\right)+\frac{d}{dx}\left(y^2\right)$
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx(x^3-3x^2y2xy^2) 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=x^2 and g=-3y. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=y and g=-3. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=2 and g=x.