00:02
The first part of this problem wants us to use the product rule in order to simplify.
00:10
Okay, so it is also telling us that x is equal to one.
00:14
And in the problem, it tells us all the values for f of 1, f prime of 1, g of 1, g of 1, and g prime of 1.
00:23
So really using all those values, we will just be plugging it into the product rule.
00:29
Again, i'm just going to shorthand write the product rule on here.
00:32
F prime of x times g of x plus f of x and multiplied by g prime of x.
00:44
Okay, now i'm going to plug in all the numbers that the problem gave me.
00:48
So f prime of one was four, g of one was two, plus f of one was five, and g prime of one was three.
01:05
So now we just need to simplify.
01:09
So i have 8 plus 15, which is 23.
01:15
So that is my final answer here...