00:01
Here in questions 59 to 62, i want to describe the x values at which the function is differentiable.
00:08
So for a function to be differentiable, we need to meet three criteria.
00:14
First, i need my function f to be continuous.
00:22
Secondly, i need f to have no sharp points.
00:29
I need f to have no sharp points.
00:34
And third, i need f to have no vertical tangencies.
00:43
I need f to have no vertical tangencies.
00:49
So let's take a look here.
00:51
If i look at number 59, it looks like i have a discontinuity at x equals negative 1.
00:59
However, i appear to be differentiable at all other values of x.
01:05
So i would say for number 59 that we are differentiable on the intervals from negative infinity to negative 1, excluding negative 1, and then from negative 1 to positive infinity...