Can I derive a dependent variable in Matlab?

Ex.
y=x(t) so that y'=x'(t)

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Please give more context? Your tag "system modeling" suggests that you are not talking about the Symbolic Toolbox?

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According to my understanding you want to create a variable ‘y’ which is dependent on variable ‘x’
You can do it using syms module.
Creating variable y dependent on t
syms y t %defining y and t as variables
y=t*t + 3 %for example
diff(y)
Here the function diff represents differentiation of the variable y.
For more understanding of the module syms refer this link: https://www.mathworks.com/help/symbolic/syms.html

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