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I am trying to use MAPLE to do some computations involving system of equations which terms are derivatives of functions.

When I type diff(alpha(x),x) it shows $\frac{d}{dx}\alpha(x)$. Is it possible to change this notation to obtain something like this: $\alpha'(x)$?

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    Nothing wrong, theoretically. But since I have many symbols like that, not only for $\alpha$ (to be true I have $\alpha_1,\alpha_2$), it would be clear with prime notation.2012-11-19

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To change to $\alpha'(x)$, go to Preferences, Display and change Typesetting level to Extended (it should be Maple Standard by default). I have a Mac version, I believe it should be similar for PC. Another approach would be to type interface(typesetting = extended). Use interface(typesetting = standard) to go back to Leibniz notation. Typing

with(Typesetting): RuleAssistant()

should launch Typesetting Rule Assistant, which allows you to specify when to use prime notation and when to use dot (Newton) notation.

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    The Typesetting Rule Assistant allows you to specify to which variables prime notation applies. If you type `diff(alpha(t),t)` and `diff(alpha(y),y)` you should get $\dot \alpha (t)$ and $\frac{d}{{dy}}\alpha (y)$, respectively. Just something to keep in mind.2012-11-20