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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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$\frac{d}{dx}\left(4\cos\left(3x\right)\right)+\frac{d}{dx}\left(-3\sin\left(4x\right)\right)$
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx(4cos(3x)-3sin(4x)) 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'. The derivative of the constant function (4) is equal to zero. The derivative of the constant function (-3) is equal to zero.