00:01
This question, we're told to find the derivative of the function h of t equals t plus 2 over t squared plus 5t plus 6.
00:18
And i see, and then it says, state which differentiation rules you use to find the derivative.
00:24
So i see a quotient, so i'm going to use a quotient rule.
00:27
However, before we find the derivative, it's always helpful if we can to simplify the function.
00:33
So on the top i have a t plus 2, but on the bottom, this factors as t plus 2 and t plus 3.
00:47
And so then if we divide out these factors here, i'm left with 1 over t plus 3.
00:57
Alright, so now this is a much easier quotient rule to apply.
01:02
I could actually write this as t plus 3 to the negative first power and use the general power rule, which includes the chain rule as well.
01:19
I'll go ahead and do it as a quotient rule.
01:22
So remember, i use the quotient rule.
01:31
So kind of the little saying that we say when we do the quotient rule, we say low d high...