Differentiate each function by applying the basic rules of differentiation
`x^(5)-3x^(3)+1`

Explanation

To differentiate the function \( f(x) = x^5 - 3x^3 + 1 \), we will apply the basic rules of differentiation step by step.

### Step-by-Step Solution:

1. **Identify the function**:
We have the function \( f(x) = x^5 - 3x^3 + 1 \).

2. **Differentiate each term separately**:
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