00:01
Okay, so to start this, i'm going to set this equal to x.
00:06
So x is equal to the cube root of 11.
00:12
Then i'm going to cube both sides, so that'll get rid of this root here.
00:16
So x cubed is equal to 11.
00:20
Then i'm going to bring 11 to the left -hand side.
00:22
So i'll have x -cube minus 11 is equal to 0.
00:26
So now this becomes my function f.
00:28
F of x is going to be equal to x cubed minus 11.
00:37
Okay, with that, i'm also going to take the derivative because i'm going to need that for my formulas later.
00:42
So f prime of x is equal to 3x squared.
00:48
Okay, so now we're going to use newton's method to estimate this, so i'm just also going to write my formula so i can look at it later.
00:55
So x sub n plus 1 is equal to x n minus x...