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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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$\frac{d}{dx}\left(-121x^2\right)+\frac{d}{dx}\left(4x\right)+\frac{d}{dx}\left(3\right)$
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx(-121x^2+4x+3) 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=-121 and g=x^2. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=4 and g=x. The derivative of the constant function (-121) is equal to zero.