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# Unit 5: Existence theorems

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## About this unit

There are three main existence theorems in calculus: the intermediate value theorem, the extreme value theorem, and the mean value theorem. They all guarantee the existence of a point on the graph of a function that has certain features, which is why they are called this way.### Learn

### Practice

- Conditions for IVT and EVT: graphGet 3 of 4 questions to level up!
- Justification with the intermediate value theoremGet 3 of 4 questions to level up!
- Using the intermediate value theoremGet 3 of 4 questions to level up!

### Learn

### Practice

- Conditions for MVT: graphGet 3 of 4 questions to level up!
- Justification with the mean value theoremGet 3 of 4 questions to level up!
- Using the mean value theoremGet 3 of 4 questions to level up!

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