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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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$\frac{d}{dx}\left(\frac{x^2}{2}\right)+\frac{d}{dx}\left(\frac{-x^7}{7}\right)$
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx((x^2)/2+(-x^7)/7) 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 a function multiplied by a constant (\frac{1}{2}) is equal to the constant times the derivative of the function. The derivative of a function multiplied by a constant (\frac{1}{7}) is equal to the constant times the derivative of the function. Divide 1 by 2.