Calculus
posted by George .
Explain the global optimization process for a continuous function over a closed interval. Be sure to identify all steps involved and clearly explain how the derivative is utilized in this process.
Does this have to do with the first derivative rule or second derivative rule and then substituting what you get to double check?

I guess you mean you are looking for maxima and minima of the function within the given domain
Look for points where the first derivative is zero. Those are maxima or minima or points where the slope is zero and then continuing up or down.
Take the second derivative at those points
if the second derivative is +, that is a minimum
if , that is a maximum
if zero, then it is just a pint where the function flattens out