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Unit 5

5.0 Unit 5 Overview: Analytical Applications of Differentiation

1 min readโ€ขapril 26, 2020

Jed Quiaoit

Sumi Vora


Now that you know how to take basic derivatives, itโ€™s time to take it up a notch and learn how to actually apply differentiation to different problems. Remember how I said that AP Calculus is all about memorizing formulas? This still stands with these problems - the College Board will generally give you different variations of the same problem, so as long as you know how to solve these, youโ€™ll be okay!ย ๐Ÿ™†โ€โ™‚๏ธ

Graphical Analysisย 

Graphical Analysis is a MAJOR AP TOPIC along with BC Integrals and Sequences and Series. You should expect at least one FRQ to be on Graphical Analysis along with several multiple-choice questions.ย ๐Ÿ“Š

Mean Value Theorem and Extreme Value Theorem

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Optimization

Now that we understand how derivatives can determine the maximum and minimum values on a graph, we can also apply this knowledge to word problems. ๐Ÿ“–

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