How to calculate the minimum value of a specified non-linear function

How to calculate the minimum value of a specified non-linear function

Dear Sir,

I am looking for a method to calculate the minmum value for a certain function, exp. y = f(x), beyond a specified area, x0 < x < x1.

Furthermore, before the previous calculation, if the function is
y= a0 * x^5 + a1 * x^4+ a2 * x ^3 + a3 * x^2 + a4*x * a5

I also want to decide whether there is a minimum value deyond the specified area.

How can I realize it with IPP or other intel libraries.

Thank you!

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