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 Problems

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 One of the most important applications of the derivatis to “optimization” problems, in which some quantitymaximized or minimized.

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Each of these questions ass for the best, or optimal, valufunction.

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"olvin! #pplied OptimizatioProblems

 

Read the problem. $raw a picture.

 introduce variables.

Write an equation for the unknown quantity.

 Test the critical points and endpoints in the domain of the unknow

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EXAMPLE 1

 #n open%top box is to be made by cuttin! small con!ruent squthe corners of a &'%m.%by%&'%m. sheet of tin and bendin! up t(ow lar!e should the squares cut from the corners be to mae

hold as much as possible)

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 function

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