1 min readโขjune 22, 2020

Meghan Dwyer

Remember those times when you were solving **limits at infinity,** and you would come out with an answer that looked like **โพ๏ธ/โพ๏ธ or 0/0**, and you would have to see if there was another way to manipulate the equation or cancel out some terms to try and find an answer that was not in an **indeterminate form**?

Well, no more of that! Now that you know what derivatives are, we can use those!

If you are **solving a limit**, and you end up with an answer in the form โพ๏ธ/โพ๏ธ or 0/0, you can now apply this rule:

It is important to note that this is different from quotient rule! It cannot replace quotient rule and cannot be used on problems other than these specific limits. It is called **LโHopitalโs Rule**!ย

When completing a free response question, it is important to show the limits of f(x) and g(x) are separately equal to the needed parameters, as I showed in blue above.ย

That is Unit 4! New ways we can apply the derivative rules we know to situations in context. If you see a new situation, donโt panic! Just apply what you know.

Browse Study Guides By Unit

๐Unit 1 โ Limits & Continuity

๐คUnit 2 โ Fundamentals of Differentiation

๐ค๐ฝUnit 3 โ Composite, Implicit, & Inverse Functions

๐Unit 4 โ Contextual Applications of Differentiation

โจUnit 5 โ Analytical Applications of Differentiation

๐ฅUnit 6 โ Integration & Accumulation of Change

๐Unit 7 โ Differential Equations

๐ถUnit 8 โ Applications of Integration

๐ฆUnit 9 โ Parametric Equations, Polar Coordinates, & Vector-Valued Functions (BC Only)

โพUnit 10 โ Infinite Sequences & Series (BC Only)

๐งMultiple Choice Questions (MCQ)

โ๏ธFree Response Questions (FRQ)

๐Big Reviews: Finals & Exam Prep

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