sensitivity-analysis for an optimization problem

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I performed an optimization for a formula with 3 inputs and 5 outputs. But I want to perform a sensitivity analysis. I have two questions:

1-I want to know that what is the sensitivity analysis and what is its formulation.

2- Is it related to the optimization results or it is independent from the optimization results?

3-In my optimization problem the input variables (3 inputs) were restricted between the lower bounds and upper bounds. With respect to these bounds, does the sensitivity analyses procedure change?

I would be thankful if you could help me. Regards