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The derivative of a sum of two or more functions is the sum of the derivatives of each function
Learn how to solve differential calculus problems step by step online.
$\frac{d}{dx}\left(x^2\sin\left(2x\right)\right)+\frac{d}{dx}\left(-4x\cos\left(2x\right)\right)+\frac{d}{dx}\left(-\sin\left(2x\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative using the product rule 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. 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 (-1) is equal to zero.