00:02
In this question, we are asked to find f capital prime of 0 given f small of 0 and f prime small of 0, where f capital is the given function.
00:15
And to do that, we will use the chain rule.
00:18
First, we will find f capital prime of x.
00:23
And by the chain rule, we will start from the inside out.
00:28
We will first differentiate 4 f of x.
00:31
The derivative of 4 f of x is 4 multiplied by f prime of x.
00:37
Then we will multiply it by the derivative of 3f, which equals to 3 times f prime of 4 f of x.
00:49
And then we will multiply this by the derivative of the last f here, of this f, which is simply f prime of 3 of f of 4 of x.
01:06
This is a general formula for f prime of x...