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(But not all flat parts are
One of the most important practical uses of higher mathematics is finding
www.nuffieldfoundation.org/sites/default/files/files/FSMA Maxima and minima student.pdf
Nuffield Free-Standing Mathematics Activity '
Example 14.7.3 Find all local
simple algebraic theorems in the solution of
intervals in which a given function is increasing/decreasing and its application to
Steps in Solving
Introduction. 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.