The product rule states that if you have two functions \(u\) and \(v\), then the derivative of their product is given by:
\[
\frac{d(uv)}{dx} = u'v + uv'
\]
In our case, we can let:
- \(u = x^7\)
- \(v = 1 - x\)
Now, we will differentiate each part.
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