[R] calculus using R

[Gabor Grothendieck]

Try this:

> library(Ryacas) # http://ryacas.googlecode.com
Loading required package: XML
>
> x <- Sym("x")
> h <- Sym("h")
>
> # limit
> Limit(1/(1-x), x, Infinity)
[1] "Starting Yacas!"
expression(0)
>
> # differentiation
> deriv(x^3, x)
expression(3 * x^2)
>
> # integration: indefinite and definite
> Integrate(x^3, x)
expression(x^4/4)
> Integrate(x^3, x, 0, 1)
expression(1/4)
>
> # mean value
> Limit((cos(x+h)-cos(x))/h, h, 0)
expression(-sin(x))
>
> # min/max
> Solve(deriv(x^2-x, x) == 0, x)
expression(list(x == 1/2))
>
> # continuity
> Limit(sin(x+h^2) - sin(x-h^2), h, 0)
expression(0)

On Sun, Mar 21, 2010 at 11:26 AM, ATANU <ata.sonu at gmail.com> wrote:
>
> can anyone suggest how can i do calculus
> (e.g.limit,differentiation,integrate,mean value theorem,definite
> integral,convergence,maxima minima of functions,checking continuity) using
> R??
> --
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>
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