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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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$\frac{d}{dx}\left(x^2\right)+\frac{d}{dx}\left(-2xy\right)+\frac{d}{dx}\left(y^2\right)$
Learn how to solve problems step by step online. Factor the expression x^2-2xyy^2. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x and g=y. The derivative of the linear function is equal to 1.