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

Explanation

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

### Step-by-Step Solution:

1. **Identify the function**:
We have the function \( y = t^{8} - 2t^{7} + 3t + 1 \).

2. **Differentiate each term**:
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