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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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$\frac{d}{dx}\left(\frac{x}{2}\right)+\frac{d}{dx}\left(1\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of x/2+1. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of the constant function (1) is equal to zero. 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 the linear function is equal to 1.