00:01
The question is being asked, find the y derivative.
00:05
If the y derivative is being asked, we just have some practical way to solve this kind of questions.
00:11
We just call the way as libniz theram.
00:14
So the libniz theram says, let me just remind you what is libniz theram says.
00:20
Let's say this is u of x and this is v of x.
00:23
And the function is given in terms of t.
00:26
Let's say this is the function f.
00:28
So if the derivative of this function is being asked, the derivative of the upper boundary, which is u prime x, times i'm going to plug in ux for t, which is f of ux, and minus the derivative of the lower boundary and times plug in this value to the function, which is this one.
00:48
So we can just apply this rule here.
00:51
So the y prime, which is equal to the derivative of the upper boundary, which is 3x squared...