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We could not solve this problem by using the method: Find the derivative using the product rule
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$\frac{d}{dx}\left(\cos\left(2\pi \right)x^2+x\right)$
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx(cos(2*pi)x^2+x) using the sum rule. Simplifying. Simplifying. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of the linear function is equal to 1.