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Problem to solve:

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The derivative of a function multiplied by a constant ($8$) is equal to the constant times the derivative of the function

Learn how to solve differential calculus problems step by step online.

$8\frac{d}{dx}\left(x\sin\left(x\right)\cos\left(x\right)\right)$

Learn how to solve differential calculus problems step by step online. Find the derivative of 8xsin(x)cos(x). The derivative of a function multiplied by a constant (8) 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=\sin\left(x\right)\cos\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=\sin\left(x\right) and g=\cos\left(x\right).

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