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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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$\frac{d}{dx}\left(x^2\sin\left(2x\right)\right)+\frac{d}{dx}\left(-4x\cos\left(2x\right)\right)+\frac{d}{dx}\left(-\sin\left(2x\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of y=x^2sin(2x)-4xcos(2x)-sin(2x). 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 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'. The derivative of the linear function is equal to 1.