Lecture8

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File: Lecture8

the first and second derivatives the meaning of the first derivative at the end of the last lecture we knew how to di erentiate any polynomial function polynomial functions are ...

Filetype PDF | Posted on 26 Jan 2023 | 4 years ago

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...The first and second derivatives meaning of derivative at end last lecture we knew how to di erentiate any polynomial function functions are rst studied for which did not talk about shape their graphs in detail rectify this situation today s going formally discuss information that give us graph a f x write as or df is slope tangent line dx point put non graphical terms tells whether increasing decreasing by much it re ected on sometimes describe positive increases also negative decreases zero does tell anything particular may be local maximum minimum writing see if p then an called critical do know new behavior example take therefore so thesecondderivative while can phenomenon graphically curve being concave up shaped like parabola open upward likewise down downward points where learn changing from summarize nding using above test welearned before when could often use however nd out recall now suppose only way sketch but make draw hence get no three cases collectively gives classify ma...

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Posted on: 26 Jan 2023 | 4 years ago
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