Appropriate App for Derivative Plotting

[syberraith]

I have some long functions with about half a dozen varibles.

Some thing like:

f(t) = sqrt((Gr^2*Gw^2+Gr^2)*cos(Gw*t)^2 -2*Gr*Xr*Xw*cos(Gw*t) +Xr^2*Xw^2)

I want to define the variables, then plot out the curves, integrate an interval, then change some variables and re-plot the curve, and re-integrate.

Making an input file that defines the variables and the function along with the integration command would be fine, I'm thinking that Octave would probably be the app for that. I could use an outline of how to do that.

I have Octave, GnuPlot, and SciDAVis. I was hoping to use SciDAVis, although I am having trouble figuring out how to define the variables.

What should I do?

 

[NateD]

First, you need to define the variables in your function. You can do this either by entering them directly into the function or by assigning them to variables in a separate script. For example, if your function is f(t) = sqrt((Gr^2*Gw^2+Gr^2)*cos(Gw*t)^2 -2*Gr*Xr*Xw*cos(Gw*t) +Xr^2*Xw^2), you could assign values for Gr, Gw, Xr, and Xw in a script like this:Gr = 1;Gw = 2;Xr = 3;Xw = 4;Then, you can plot the function in SciDAVis by typing the following command into the console:plot f(t)This will create a graph of the function with the specified variables. You can also integrate the function over an interval by typing the following command into the console:quad("f",a,b)where a and b are the lower and upper limits of the integration interval. Finally, you can change the variables and re-plot the curve and re-integrate it by editing the values of Gr, Gw, Xr, and Xw in the script and then running the plot and quad commands again.