00:01
We now find the derivative of f of x equals x squared cosine x squared.
00:06
And so to find the derivative of this function, we consider this as a product of two functions.
00:11
The first function is x squared.
00:14
And the second function is cosine x squared.
00:17
And so when we use the product rule, we like the derivative f prime of x.
00:21
And this equals, according to the product rule, we find the derivative of the first term.
00:26
That is, the derivative of x squared is 2x.
00:29
And then multiply this with the second function, which is cosine x squared.
00:35
Now we write the first term as it is, and then multiply this with the derivative of cosine x squared.
00:42
And so to find the derivative of cosine x squared, basically we have to apply the chain rule...