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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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$\frac{d}{dx}\left(2x\right)+\frac{d}{dx}\left(-3\left(x-3\right)^2\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of 2x-3(x-3)^2. 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 times a constant, is equal to the constant. The derivative of the linear function is equal to 1. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function.