Dear R users,

Does anyone know how to write a function involving derivative?

i.e. I want to implementing Newton's method in R, so my function is something 
like

x<- x-y/y'

I am not sure how to write y' in my function. Can anyone help?

 

In addition, if I want to implementing newton's method several times, what code 
should I use?

Currently, I use the following code.

 

<-1
> for (i in 1:20){
+ x<-x-(x^3-2*x^2+3*x-5)/(3*x^2-4*x+3)}
> x
[1] 1.843734
 
However, when I typed in the following code, I would yield the same answer.
<-1
> for (i in 1:1){
+ x<-x-(x^3-2*x^2+3*x-5)/(3*x^2-4*x+3)}
> x
[1] 1.843734
 
Can anyone suggest me what the problem is?
 
Please help.
Thanks so much.
 
Debbie
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