00:01
Hi, in this question given that f of x equals 9 by square root of x.
00:10
We need to find the differentiation of this function.
00:14
So, here f dash of x equals which can be rewrite as 9 into x power minus 1 by 2.
00:22
So, on differentiating we get 9 into minus 1 by 2 into x power minus 1 by 2 minus 1.
00:32
So, which is equal to here minus 9 by 2 into x power minus 3 by 2.
00:42
Hence, which can be written as minus 9 by 2 into x power 3 by 2.
00:48
We need to write it in the form of dy.
00:51
So, we know that f of x equals y.
00:54
So, f dash of x can be written as dy by dx.
01:01
So, here dy can be written as minus 9 divided by 2 into x power 3 by 2 into dx...