00:01
Here, we're given a function y equals the natural log of absolute value of x plus 6, and that whole thing is raised to the fourth power.
00:11
And we want to take the derivative.
00:13
So i'm going to consider if x is greater than negative 6, and if x is less than negative 6.
00:19
I chose that because that's where this thing is 0.
00:23
So if it's bigger than negative 6, that means we don't have to worry about the absolute value.
00:28
It just goes away.
00:29
So y equals the natural log of x plus 6, and that's all raised to the fourth power.
00:35
If x is less than negative 6, then we have the natural log of negative x plus 6 raised to the fourth power.
00:46
Now, with a log, notice that if i have this, this is negative 1 times that, right? so let's just kind of go on and see what happens...