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A maximum or minimum of a function, f, that is not singular between a and b and that lies in the interior of the interval [a,b], must occur where f'=0. This means that differentiation is often useful for computing maxima or minima.
8.1 General Method for Finding Extrema
8.2 Optimizing F(x,y) holding G(x,y) Constant
8.3 Related Rates