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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=x$ and $g=2\cos\left(x\right)\sin\left(x\right)$
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$2\frac{d}{dx}\left(x\right)\cos\left(x\right)\sin\left(x\right)+x\frac{d}{dx}\left(2\cos\left(x\right)\sin\left(x\right)\right)$
Learn how to solve product rule of differentiation problems step by step online. Find the derivative using the product rule d/dx(2xcos(x)sin(x)). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x and g=2\cos\left(x\right)\sin\left(x\right). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=\cos\left(x\right) and g=2\sin\left(x\right). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=\sin\left(x\right) and g=2. The derivative of the constant function (2) is equal to zero.