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Differentiate each function by applying ...

Differentiate each function by applying the basic rules of differentiation
`(x^(3)-8)((2)/(x)-1)`

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To differentiate the function \( y = (x^3 - 8)\left(\frac{2}{x} - 1\right) \), we will follow these steps: ### Step 1: Expand the Function First, we need to expand the function to make differentiation easier. We can distribute \( (x^3 - 8) \) across \( \left(\frac{2}{x} - 1\right) \). \[ y = (x^3 - 8) \left(\frac{2}{x} - 1\right) = (x^3 - 8) \cdot \frac{2}{x} - (x^3 - 8) \cdot 1 \] ...
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