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Finding the maximum and minimum of a function

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Bilal Maarouf
Bilal Maarouf on 18 May 2018
Edited: Guillaume on 18 May 2018
Hello, How can I find the minimum and maximum of a function similar to this one T=(((x(1)*x(2))/(x(3)*8))*(x(6)^x(7)))+x(4)+x(5). Thank you.


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Bilal Maarouf
Bilal Maarouf on 18 May 2018
Each x is a different variable. i.e. x is not a vector.
Torsten on 18 May 2018
Without further restrictions on x(1),...,x(6), the maximum of your function is +Inf and the minimum is -Inf.
Best wishes
Guillaume on 18 May 2018
So T is a function of 5 independent variables?
Your particular function is not bounded. If you set x(2:5) to 1, then the limit of your function is ∞ when x(1) goes to ∞ and -∞ when x(1) goes to -∞.
If you are asking how to find the global minimum and maximum of an arbitrary function, then this is not something that matlab can do. In fact, it's not something that anybody knows how to do generically.

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