Question: Altering graph scales by a factor

Hi all,

first off, I don't think this is a normal "how do you rescale a graph" question - I'm aware that there are plenty of those around, but none seems to answer my question.

 

I essentially want to change the x-axis of a graph by a factor, rather than just changing the plotting range or tick-marks. For example, I have a function, f(x), and it's derivative (with respect to x) f'(x). I can plot f'(x) for x=1....60 easily for example, but I also want to plot f'(x) against z, where x=2*pi/z, for z=1/(2*pi)...60/(2*pi),

I thought that maple would easily be able to calculate x if I supplied z, or vice versa, and plot the graphs accordingly. However, as soon as I define x=2*pi/z it substitutes it into the function f(x) and can no longer derive f'(x) as it only has z in it!

So (unless you can solve that particular problem), I though that I could add a scaling factor to the x-axis so that I didn't actually change what was plotted, but just what is displayed on the axis itself. In origin for exaple, you can "divide by a factor", so you could convert something in metres to something in nanometres by diving the scale by 1e9. I want to divide by 2*pi.

 

Any ideas how I can do this?

Thanks in hope,

Charles

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