00:01
Alright, so in this problem we are given the following function.
00:03
We're given f as a function of theta.
00:08
So f of theta is equal to cosine of theta squared.
00:15
For this problem i'm going to use the chain rule apply on cosine.
00:21
So this is going to look like this.
00:24
The chain rule, in our case we can write a version of the chain rule that looks like this, the derivative with respect to theta of cosine of u, where u is some function of theta.
00:37
This would equal to the derivative of cosine, its negative sign, we will keep u as is, times the derivative of u with respect to theta.
00:48
So we can write this as the u over d theta, but it's commonly written as negative sine of u times u prime.
00:57
We understand that u prime here denotes or represents the derivative of u with respect to theta.
01:03
Next, let us apply this chain rule on our function.
01:07
So apply the chain rule on our function.
01:16
So we are going to get the following...