To find the derivative \( f' \) for the function \( f(x) = 3x - 2 + 8 \), we first simplify the function:
\[ f(x) = 3x + 6 \]
Now we can differentiate \( f(x) \) with respect to \( x \):
\[ f'(x) = \frac{d}{dx}(3x + 6) = 3 \]
So, the derivative \( f' \) is \( 3 \).
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