Differentiate each function by applying the basic rules of differentiation
`t^(8)-2t^(7)+3t+1`

Explanation

To differentiate the function \( f(t) = t^8 - 2t^7 + 3t + 1 \), we will apply the basic rules of differentiation.

### Step-by-step Solution:

1. **Identify the function**:
\[ f(t) = t^8 - 2t^7 + 3t + 1 \]
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