Question

Is the Mean Value Theorem the same as the Intermediate Value Theorem?

Answer 1

Finding the difference between the Mean Value Theorem and the Intermediate Value Theorem:

• The mean value theorem is all about the differentiable functions and derivatives, whereas the intermediate theorem is about the continuous function.
• The mean value theorem guarantees that the derivatives have certain values, whereas the intermediate value theorem guarantees that the function has certain values between two given values.

Therefore, the mean value theorem is not the same as the intermediate value theorem.