00:01
Alright, in your question, you're asked to use newton's method to approximate the root for the following function.
00:07
I have newton's method laid out there for you to see.
00:11
One of the things we're going to need is the derivative of our function.
00:15
So f prime of x is going to equal, you just multiply the 3 to the 2, 6x, and you drop the power by 1 plus 8.
00:25
And then the derivative of 2 is just a 0.
00:29
Okay, you're told to start with your first iteration, x sub 1, to be negative 1.
00:35
So if we're interested in x sub 2, which is n plus 1, we're going to take our x sub 1 value and subtract f of x sub 1 divided by f prime of x sub 1.
00:51
So x sub 2 is going to equal x sub 1, which is negative 1, minus f of negative 1, divided by f prime of negative 1.
01:06
Okay, so negative 1 minus f of negative 1, if i put a negative 1 into the f function, i end up with a negative 8 over f prime of negative 1 is a 14...