Another powerful usage of differential calculus is optimization, for example, finding the number of products needed to be sold at a store to maximize its monthly revenue or to minimize its monthly costs. In this section, we will link the application of differential calculus with finding the local extrema, the maxima and minima, of a function.
critical number: a numberc in the domain of a functionf such that:
How to describe graphs of functions?
Find the critical numbers of the function:
Critical number & maximum and minimum values
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