00:01
Hello everyone, let's solve the given question.
00:02
So, as according to the question in part a mean value theorem.
00:10
So, a function continuous on a ,b differentiable on a ,b then there exist c in a ,b such that f dash c is equals to the fb -fa divided by b -a.
00:47
Now, moving to part b of the question then fx is equals to x divided x plus 2 1 ,4.
00:54
So, now as to be moving further we can see that the fx is continuous and differential on 1 ,4.
01:12
So, it's satisfied mean value theorem.
01:23
So, as according to this f dash c is equals to f4 minus f1 divided 4 minus 1 then it is equals to the d over dx x divided x plus 2 and solving this we get it x plus 2 minus x divided x plus 2 whole square...