# Mean value theorem

5 videos
1 skill
If over the last hour on the highway, you averaged 60 miles per hour, then you must have been going exactly 60 miles per hour at some point. This is the gist of the mean value theorem (which generalizes the idea for any continuous, differentiable function).

### Mean value theorem

VIDEO 6:37 minutes

### Finding where the derivative is equal to the average change

VIDEO 4:50 minutes

### Getting a ticket because of the mean value theorem

VIDEO 7:12 minutes

### Maximizing function at value

VIDEO 4:14 minutes

### Mean value theorem

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### Mean value theorem

VIDEO 16:48 minutes
Intuition behind the Mean Value Theorem