00:00Here, in the equation over, we get that f of x is equal to y, which is
00:04He is a constant
00:05constant means because the value is not a fixed variable like your x which is a variable
00:12Why is it constant, that is, it has some fixed value, which I do not know, but we assume C.
00:17Or why assume it is a fixed value right now?
00:21We were asked what would be the value of double differentiation of f of x, x is equal to
00:260 p.m.
00:27Now, keeping in mind the simplification, we simply hold the change even after wearing it.
00:32First let's simplify it to matrix format it will become
00:363x square into minus q cube minus 0 into q square i.e. minus q cube
00:47We have to open the matrix minus x, this is also in this one.
00:52Minus comes into the matrix 6 q cube into 6 q cube 0 into q 0
00:59minus sin x 6 q square plus q 6 q square plus q Now opening this once
01:10First let us differentiate them, that is why this q is constant, hence it has no effect on
01:16Therefore, it will not matter if q is constant, q cube will also be constant, q square will also be constant.
01:22So simply we can do differentiation so differentiation of x squared is 2x 2 into 3
01:29Differentiation of 6x into minus q cube minus cos x will become minus sin x minus minus plus sin x
01:41into 6 q cube
01:44And differentiation of minus sin x is cos x i.e. minus cos x into 6 q square plus q
01:55Now let's go back to differentiation because we have done double differentiation, not just once.
02:00So this becomes 6. Now let's multiply the difference.
02:06Differentiation of minus 6 q cube plus sin x cos x plus cos x into 6 q cube
02:18minus cos x becomes minus sin x, that is, plus sin x into 6 q square plus
02:28q
02:28Now here we have to find its value when x is equal to 0
02:36So this is our d double differentiation, this is going to be d square by dx square. Now, in those
02:44This f of x is next in our leaf.
02:47Now here we will simply put the value of x as 0 and our answer will come today.
02:51So this is going to be minus 6 q cubed. There's no x term in it.
02:55So this is the value of cos 0 or it is 1
02:58That means the value of plus 6 q cube plus sin 0 becomes 0
03:04That means this value time becomes 0 6 q cube minus 6 q cube is equal to 0
03:10So this whole equation 0 plus 0 is also 0, so this cancer is equal to 0.
03:16today today 2 Bhad today today today today's azar gazer
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