![]() ![]() This will help you quickly find zeros, extrema, intersection points, etc., which can lead to faster solution methods ( example). Be proficient with the Trace tool on graphs.Always have your calculator set to radians, not degrees.Just set it up correctly and give the answer. On Part A FRQs, you are not required to show any work for these 4 things. Make sure that your calculator can do each of these things and know how to do them efficiently. College Board calls out 4 functionalities that your calculator is expected to do ( source).Make sure your calculator is on College Board's list of approved calculators.Make things easier on yourself and ask around for one. You can technically get a 5 without earning a single point on calculator sections, but you would have to be nearly perfect on the other sections. If you don't have a graphing calculator or can't afford one, ask if you can borrow one from a friend or teacher and do so now so you can practice with it.Here are some things to look at in advance of test day: (BC-only) Polar to rectangular coordinatesĪ calculator is only useful on a timed exam if you know how to use it efficiently.(BC-only) Derivatives of vector-valued functions.(BC-only) Parametric slope, speed, and arc length.Area between curves ( in terms of x, in terms of y).Integral rules ( basic, trig, properties of definite, (BC-only) improper).Fundamental theorem of calculus (FTC) and 2nd FTC.Mean value theorem (MVT) and Rolle's theorem.Properties of limits at a point and limits at infinity.It may be a good idea to put the ones you do want to memorize on flashcards to help you study: Some things like squeeze theorem just require some familiarity rather than outright memorization. ![]() Here's a breakdown of formulas and theorems you want to memorize/be familiar with for the exam. Please view the General Questions Megathread before asking a question. When the AP week comes, please DO NOT discuss the multiple choice section! However, in accordance with the agreements made with the College Board in regards to the release of the FRQ's, you may discuss them on this site when they are released. Everyone has their own specialties! Help with what you know and get help with what you don't is the golden rule. If you would like to share resources for this purpose, message the moderators first.ĭon't try to one-up each other with scores. College Board and many textbook publishers have and continue to send copyright notices when they are shared here.Īdvertising is not allowed without moderator approval. ![]() Positive discussion is encouraged.ĭo not ask for or share audit exams or other illegal/copyrighted materials. We are approaching 3.68,Įven though the value of the function is something different.Please try to keep discussions on-topic about AP courses. But this would be a reasonable inference. Is what the graph look like once again, we're just Where it's approaching 3.68įrom values less than five and values greater thanįive, but right at five, our value is 6.37. So if this, that's 6.37 then at four, 3.37 is about here and it looks like it's approaching 3.68. So 6.37, but as we approach five, so that's four, actually let That this right over here is 6.37, so that's the value of my function right over there. This is five right over here, At the point five the value of my function is 6.37, so let's say Just substitute five what is g of five? It tells us 6.37, but the limit does not have to be what the actualįunction equals at that point. Most tempting distractor here because if you were to The limit would be 3.68 or a reasonable estimate for And we're approaching 3.68 from values as we approach five from When we're approachingįrom values less than five. So my most reasonable estimate would be, well it look like ![]() So a thousandth below fiveĪnd a thousandth above five we're at 3.68, but then at five all of sudden we're at 6.37. But then if we approach fiveįrom values greater than five. I don't, these are just sample points of this function, we don't know exactly what the function is. But then at five all of a sudden it looks like we're We're only a thousandthĪway, we're at 3.68. Let's see at four is it 3.37,Ĥ.9? It's a little higher. Of x seems to be approaching as x approaches five from Is a reasonable estimate for this limit? Alright now let's work It gives us the x valuesĪs we approach five from values less than fiveĪnd as we approach five from values greater than five it even tells us what g What is a reasonableĮstimate for the limit is x approaches five of g of x? So pause this video, look at this table. ![]()
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