00:01
All right, so for part a, we want to find the fourth derivative of root 1 minus x.
00:12
We're going to convert that first to 1 minus x to the 1 .5.
00:18
And we're going to take our derivatives from there.
00:22
So f prime of x, it's going to be equal to 1 .5 times 1 minus x to negative 1 .5.
00:31
Second derivative, it's going to be negative.
00:38
So this is negative, apologies.
00:43
So this is going to be negative one -fourth times one minus x to negative three halves.
00:52
Third derivative, it's going to be negative three -eighth times one minus x to the five -halfs, negative.
01:07
And the final derivative or the fourth is going to be negative 15 over 16 times 1 minus x and negative seven halves all right so to find the 200 and forty -third derivative of f of x which in this case is sine 4x over 4 we're going to define the cyclical derivative patterns so for the first for that first derivative, so derivative of sine 4x over 4, that's going to be equal to cosine of x, sorry, cosine of 4x...
