State Rolle’s theorem.

Explanation

**Step-by-Step Solution:**

1. **Definition of Rolle's Theorem**:
Rolle's Theorem states that if a function \( f \) is continuous on the closed interval \([a, b]\) and differentiable on the open interval \((a, b)\), and if \( f(a) = f(b) \), then there exists at least one point \( c \) in the open interval \((a, b)\) such that the derivative of the function at that point is zero, i.e., \( f'(c) = 0 \).

2. **Conditions for Rolle's Theorem**:
- **Condition 1**: The function \( f \) must be continuous on the closed interval \([a, b]\).
- **Condition 2**: The function \( f \) must be differentiable on the open interval \((a, b)\).
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