4 applications of differentiation y x calculus reveals all the important aspects of graphs of functions members of the family of functions f x cx sin x are illustrated we ...
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...Applications of differentiation y x calculus reveals all the important aspects graphs functions members family f cx sin are illustrated we have already investigated some derivatives but now that know rules in a better position to pursue greater depth here learn how affect shape graph function and particular they help us locate maximum minimum values many practical problems require minimize cost or maximize an area somehow nd best possible outcome situation will be able investigate optimal can explain location rainbows sky most differential optimization prob lems which required way doing something examples such solve this chapter what is minimizes manufacturing costs acceleration space shuttle question astronauts who withstand effects radius contracted windpipe expels air rapidly during cough at angle should blood vessels branch so as energy expended by heart pumping these reduced nding let s rst exactly mean definition has absolute global c if for d where domain number called value on ...