1 00:00:00,012 --> 00:00:06,250 , Welcome back to Calculus One and welcome to Week 5 of our time together. You know, 2 00:00:06,362 --> 00:00:11,750 at this point, you're probably wondering, is there anything more to learn about 3 00:00:11,762 --> 00:00:17,632 derivatives? We've been spending so much time on derivatives. Maybe we're done. No. 4 00:00:17,633 --> 00:00:22,401 There's tons more to do. In particular, this week, we'll be doing the chain rule, 5 00:00:22,505 --> 00:00:26,512 which will let us differentiate compositions of differentionable 6 00:00:26,524 --> 00:00:30,924 functions. And since tons of functions are built by composing together 7 00:00:30,936 --> 00:00:35,551 differentionable functions, we're going to be able to differentiate a ton more 8 00:00:35,563 --> 00:00:39,510 functions by the end of this week. Next week, we're going to learn how to 9 00:00:39,522 --> 00:00:44,109 differentiate more functions, like sine and cosine, and that'll set us up to see 10 00:00:44,121 --> 00:00:48,786 some incredible applications in the weeks to come. The computations are getting 11 00:00:48,798 --> 00:00:52,286 harder. Hang in there, amazing applications are yet to come.