00:01
For this problem, we are given that f of 2 equals 3, f prime of 2 equals 5, g of 2 equals 8, and g prime of 2 equals negative 6.
00:09
And we're asked to find f times g prime of 2 and f over g prime of 2.
00:14
So we'd have that f times g prime, evaluated at 2, will be equal to f prime at 2 times g at 2, minus g prime at 2 times f at 2, all divided by g of 2 squared.
00:36
So f prime of 2 is equal to 5.
00:39
So we have 5 times 8 minus negative 6 times 3 all over 8 squared.
00:51
So 5 times 8, that is going to be equal to 40.
00:55
So we have 40 plus 6 times 3 is 18.
00:59
So we have 40 plus 18 over 8 squared is 6.
01:05
64, i believe.
01:06
Let me just double check that.
01:08
8 squared...