00:02
In this problem, capital f of x is f of f of x, and we want to find capital f prime of 2.
00:09
So let's find capital f prime of x using the chain rule.
00:13
The derivative of the outside would be f prime of f of x times the derivative of the inside f prime of x.
00:20
Now let's evaluate that at 2.
00:23
So capital f prime of 2 would be f prime of f of 2 times f prime of 2.
00:30
Now we use the table to find f of 2, f of 2 is 1, and f prime of 2, f prime of 2 is 5.
00:38
And we substitute those numbers in.
00:40
So we have f prime of 1 times 5.
00:44
Now we go back to the table to find f prime of 1, f prime of 1 is 4.
00:49
So we have 4 times 5, so the answer is 20...