00:01
Given the functions f of x graph below, we want to state the values at which f is not differentiable.
00:08
So we see for one, we have a where it's not differential.
00:15
Well, this function is actually differentiable everywhere.
00:19
However, if we wanted to, this is because it's a smooth continuous curve.
00:23
So it's kind of the general metrics by which we know if it is differentiable everywhere.
00:30
As far as the derivative goes, since the same.
00:33
Slope is zero here, we're going to have it go at zero, and it's also zero here, and it's also zero here.
00:40
So we start off with a negative slope, which means we're going to be starting negative, and then we end up reaching a positive slope, and then we go like this at the inflection point, and then come down, it's going to end up looking somewhat like this, because this is the inflection point corresponding to the minimum value, and this is the inflection point corresponding to the positive value, so our derivative would look like that.
01:06
That's for part b, actually.
01:08
A, we know it's just not differentiable anywhere...