00:01
All right, so for this problem, we want to find the derivative of tan of x squared.
00:06
We've got something on the outside, okay, tangent, all right, and i've got something on the inside, x squared.
00:16
So we're going to want to use chain rule, okay, and what's on the inside is our g.
00:21
Okay, so g of x equal to x squared.
00:24
And what's being done to g, okay, on the outside, basically, is f of, sorry, f of u.
00:35
And that is tangent of you.
00:41
And so it's good to make sure that we've got it set up right.
00:44
Okay, if we take g of x and put it into all the u's up here, we want to make sure we get back to the original thing.
00:51
So if we put x squared into the u there, we get tan of x squared.
00:55
Okay, so over here we have successfully made this f of g of x...