00:01
Hi, today we are solving the question in which f of 5 is equal to 1, f dash of 5 is equal to 6.
00:08
Similarly, g of 5 is equal to minus 8 and g dash of 5 is equal to 7.
00:15
So, we need to find the value of f into g dash 5.
00:21
So, first of all on solving it we need to multiply f of 5 and g of 5 together at x is equals to 5.
00:36
So, we have the value of both.
00:44
So, we get g, we need to find d multiple of both.
00:52
So, f dash of 5 and g dash of 5.
00:56
So, if we multiply both we get 6 into 7.
01:00
So, we get it equals to 42.
01:03
So, therefore we can conclude that f g dash of 5 is equals to 42.
01:10
Now, taking the next one, we need to find the value of f by g whole dash 5.
01:19
So, it is equals to which means we need to take the derivative of f by g at x is equals to 5.
01:29
So, f by g dash x of 5 will be equal to f by g dash x.
01:39
It is equals to f of f dash of x into g x plus f x into g dash x divided by g x square.
01:56
So, we get it equals to on substituting the values f dash 5 into g of 5 plus f of 5 into g dash of 5 divided by g 5 whole square...