If graph of `y=f(x)` is symmetrical about the point `(5,0)` and `f^(prime)(7)=3,` then the value of `f^(prime)(3)` is__________

Explanation

To solve the problem step by step, we start by analyzing the given information about the function \( f(x) \).

### Step-by-Step Solution:

1. **Understanding Symmetry**:
The graph of \( y = f(x) \) is symmetrical about the point \( (5, 0) \). This means that for any point \( (a, f(a)) \) on the graph, there is a corresponding point \( (10 - a, f(10 - a)) \) such that \( f(10 - a) = -f(a) \).

2. **Setting Up the Symmetry Equation**:
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