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The derivative of a function multiplied by a constant ($2$) is equal to the constant times the derivative of the function
Learn how to solve differential calculus problems step by step online.
$2\frac{d}{dx}\left(x\cos\left(x\right)\sin\left(x\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of 2xcos(x)sin(x). The derivative of a function multiplied by a constant (2) 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=\cos\left(x\right)\sin\left(x\right). The derivative of the linear function is equal to 1. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=\cos\left(x\right) and g=\sin\left(x\right).