Category Archives: calculus

Calculus! #55: Early Transcendentals 4.5

Tweet4.5: Summary of Curve Sketching Stewart now and then has these chapters that feel a little superfluous. Curve sketching is good to know, but it seems to me to be something you learn from practice more than explanation. That said, … Continue reading

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Calculus! #54: Interesting Problems in 4.4

TweetInteresting Problems in 4.4 Hey Geeks! So, after giving it some thought, on this section I’m not going to write out all the solutions. They’re available in other places, and the doing the latex for a ton of limits of … Continue reading

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Calculus! #52: Interesting Problems in 4.3

TweetInteresting Problems in 4.3 This is definitely one of those sections where there conceptual stuff is not so hard, but practice is important. It can be a little hard on the brain 2 think about 3 related graphs at once, … Continue reading

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Calculus! #51: Early Transcendentals 4.3

Tweet4.3: How Derivatives Affect the Shape of a Graph We’re getting to some awesome stuff here. This is probably the first part in the book where you’re going to not just use math, but also use what you might call … Continue reading

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Calculus! #50: Early Transcendentals, Interesting Problems in 4.3

TweetInteresting Problems in 4.2 This section was actually fairly simple, though some of the proofs later on gave me a little trouble. 15 “Let f(x) = . Show that there is no value of c in (1,4) such that f(4) … Continue reading

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Calculus! #49: Early Transcendentals 4.2

Tweet4.2: The Mean Value Theorem Ah the mean value theorem. Seems complicated at first, but is actually quite simple. Rolle’s Theorem You should understand this rigorously, but here’s the basic idea: If you have some continuous differentiable function, f(x), and … Continue reading

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Calculus! #48: Early Transcendentals 4.1

Tweet4.1: Maximum and Minimum Values So! Now that you know a little about functions and derivatives, it’s time to play. Here we get introduced to mins and maxes, which can be local or absolute. An absolute minimum is the lowest … Continue reading

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Calculus! #47: Early Transcendentals Chapter 3 Review

Tweet3.1 Review I hate to say, but most of these problems are easy. That said, if any area is still rough for you, this is the way to improve. There are a few cute problems in 1 through 50, but … Continue reading

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Calculus! #46: Early Transcendentals, Interesting Problems in 3.11

TweetYes, college students. While you were off at spring break, I continued the battle for math supremacy! Interesting Problems in 3.11 These were pretty fun. Nothing to hard, but there’s some nice exercise of the old logic brain muscles. None … Continue reading

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Calculus! #45: Early Transcendentals 3.11

Tweet3.11: Hyperbolic Functions OH SHNIZZLE, LET’S GET HYPERBOLIC. I don’t know that we actually went over this in my old calc class. I’m passingly familiar with these, but since I am not super fluent with them, after this section I’ll … Continue reading

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