How to find where a function has minimum value?

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I have a function like this-
How can i find the value of δ for which, 'd(f(x+δ),g(x))' or 'δ_opt' will be minimum?
Here 'd(f(x+δ),g(x))' is a function.

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KSSV
KSSV 2018-10-15
Have a look on fmincon this should help you to get what you want.

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