Final Answer
Step-by-step Solution
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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=x$ and $g=\left(x-1\right)\left(x-2\right)$
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$\frac{d}{dx}\left(x\right)\left(x-1\right)\left(x-2\right)+x\frac{d}{dx}\left(\left(x-1\right)\left(x-2\right)\right)$
Learn how to solve problems step by step online. Find the derivative of x(x-1)(x-2). 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. The derivative of a sum of two or more functions is the sum of the derivatives of each function.