00:01
They want us to find the instantaneous rate of change of the function f of x is equal to x squared plus 2x at x is equal to zero.
00:06
So we just need to plug everything into our formula up here.
00:12
So what they're telling us is a is zero.
00:17
So we just need to plug that.
00:18
So i like to do this in steps.
00:20
So let's go ahead and start by doing f of 0 plus h.
00:27
Well, that's just f of h.
00:32
So we're just going to plug h in everywhere.
00:34
So we'd have h squared plus 2h.
00:41
Then we can go ahead and move on to the second part, which is going to be f of.
00:47
So i'm just going to write this as f of h, then minus f of 0.
00:53
So let's solve for f of zero really quickly...