00:01
So i'm reading this as the derivative of t square root of 2t plus 1.
00:10
And what i would do is i'm going to just rewrite it in the derivative of t.
00:16
And then instead of writing the square root, i'm going to write it to the 1 half power.
00:21
Because what we actually have going on in this problem is first of all a product rule.
00:27
So let me acknowledge what to do there.
00:29
I like to take the derivative of the left side, which is 1.
00:32
You leave the right side alone, maybe i'll just revert back to that square root, 2t plus 1.
00:39
Plus, now i'm leaving the t alone, but now when i do the derivative of the right side, let's do this in green, this is going to be your chain rule.
00:49
So what i have to do is move this 1 half in front, and it's now to the negative 1 half power.
00:57
And i leave the inside alone, but then i have to multiply by the derivative of the inside, which would be 2...