On Nov 17, 2011, at 4:40 PM, Katrina Bennett wrote:

Hello, I am wondering if someone can help me. I have the following function that I derived using nls() SSlogis. I would like to find its derivative. I
thought I had done this using deriv(), but for some reason this isn't
working out for me.

Here is the function:
asym <- 84.951
xmid <- 66.90742
scal <- -6.3

x.seq <- seq(1, 153,, 153)
nls.fn <- asym/((1+exp((xmid-x.seq)/scal)))

try #1
deriv(nls.fn)
#get an Error in .Internal(deriv.default(expr, namevec, function.arg, tag,
hessian)) : 'namevec' is missing

try #2
deriv(nls.fn, namevec=c("asym", "xmid", "scal"))
#this doesn't seem to give me the expression, and the gradients are zero.

nls.fn is not a function or an expression. It has been evaluated and now it's a vectpr, and not what `deriv` is "expecting". If you want to use `deriv` or `D` you must first read the help page:

?deriv

And then construct a proper expresssion, call, or function...

> nls.expr <- expression( 84.951/((1 + exp(( 66.90742- x)/ -6.3))) )
> D(nls.expr, "x")
-(84.951 * (exp((66.90742 - x)/-6.3) * (1/6.3))/((1 + exp((66.90742 -
    x)/-6.3)))^2)
> deriv(nls.expr, "x")
expression({
    .expr4 <- exp((66.90742 - x)/-6.3)
    .expr5 <- 1 + .expr4
    .value <- 84.951/.expr5
    .grad <- array(0, c(length(.value), 1L), list(NULL, c("x")))
    .grad[, "x"] <- -(84.951 * (.expr4 * (1/6.3))/.expr5^2)
    attr(.value, "gradient") <- .grad
    .value
})

--
David.


I've tried to do this with Ryacas as well, but I'm lost.

Can anyone help?

Thank you,

Katrina

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