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The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function
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$6\frac{d}{dx}\left(x\left(x-1\right)\left(x-2\right)\right)$
Learn how to solve problems step by step online. Find the derivative of 6x(x-1)(x-2). 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', where f=x and g=\left(x-1\right)\left(x-2\right). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x-1 and g=x-2. The derivative of the linear function is equal to 1.