Find the derivative $\frac{d}{dx}\left(2x\sin\left(x\right)+3x\cos\left(x\right)\right)$ using the sum rule

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$\frac{d}{dx}\left(2x\sin\left(x\right)\right)+\frac{d}{dx}\left(3x\cos\left(x\right)\right)$

Learn how to solve sum rule of differentiation problems step by step online. Find the derivative (d/dx)(2xsin(x)+3xcos(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 a function multiplied by a constant (2) is equal to the constant times the derivative of the function. The derivative of a function multiplied by a constant (3) is equal to the constant times the derivative of the function. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x and g=\sin\left(x\right).