Can we use the mean value theorem to say that the equation g prime of x is equal to 1 1 2 has a solution where negative one is less than x is less than two? If so, write a justification. All right, pause this video and see if you can figure that out. So the key to using the mean value theorem to even before you even think about using it, you have to make sure that you are continuous over the closed interval and differentiable over the open interval. So this is the open interval here and then the closed interval would include the endpoints. But you might immediately realize that both of these intervals contain x equals zero and at x equals zero, the function is undefined. And if it's undefined there, well, it's not going to be continuous or differentiable at that point.