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The correct answer to the question is **Lagrange's Mean Value Theorem**.

Lagrange's Mean Value Theorem (MVT) states that for a function that is continuous on a closed interval \([a, b]\) and differentiable on the open interval \((a, b)\), there exists at least one point \(c\) in \((a, b)\) such that the derivative (slope of the tangent) at \(c\) is equal to the average rate of change (slope of the secant line) between \(a\) and \(b\). 

Would you like further details on how this theorem works or its applications?

Here are five related questions:
1. What is the geometric interpretation of the Mean Value Theorem?
2. How does Rolle's Theorem relate to the Mean Value Theorem?
3. Can the Mean Value Theorem be applied to non-differentiable functions?
4. What is the physical interpretation of the Mean Value Theorem in real-world contexts?
5. How do we prove Lagrange's Mean Value Theorem?

**Tip**: Always check if the function meets the conditions (continuity and differentiability) before applying the Mean Value Theorem.

Which theorem states that there is at least one point where the slope of the tangent to the function is equal to the slope of the secant line joining two points?

Explore Lagrange's Mean Value Theorem, which states that for a continuous and differentiable function on a closed interval, there is at least one point where the slope of the tangent equals the slope of the secant line. Understand the theorem, key formulas, and its applications. Suitable for Grades 11-12 calculus students.

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