Find the derivative $\frac{d}{dx}\left(x-2\sin\left(x\right)+1-2\cos\left(x\right)\right)$ using the sum rule

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$\frac{d}{dx}\left(x\right)+\frac{d}{dx}\left(-2\sin\left(x\right)\right)+\frac{d}{dx}\left(1\right)+\frac{d}{dx}\left(-2\cos\left(x\right)\right)$

Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx(x-2sin(x)+1-2cos(x)) 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 the constant function (1) is equal to zero. The derivative of the linear function is equal to 1. The derivative of a function multiplied by a constant (-2) is equal to the constant times the derivative of the function.