Question about Symbolic Differentiation

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Kevin Bachovchin 2013-2-13

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Hello,

If I write the following code:

syms x t
answer = diff(x,t)

then answer = 0.

Is it possible to declare that x is some unknown function of t, so that diff(x,t) will return dxdt instead of 0?

(I'm asking because I'm trying to use MATLAB to automatically derive differential equations for certain user input for a specific application.)

Thank you,

Kevin

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Walter Roberson 2013-2-13

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If you have a fairly new version of MATLAB (R2011b I think was the first), then

syms x(t)
diff(x,t)

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Kevin Bachovchin 2013-2-14

Thanks again. When I try to take the partial derivative of function f with respect to x1(t), I'm getting an error saying Error using mupadmex Error in MuPAD command: Invalid variable. [stdlib::diff]

Is there any special way to take the partial derivative of f with respect to x1(t), or is it necessary to define a new syms x1 and substitute that in for x1(t) in f before taking the derivative?