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33 changes: 18 additions & 15 deletions docs/calc/chapter1/index.html
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<!DOCTYPE html>
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<link rel="stylesheet" href="https://colbyn.github.io/school-notes/styling.4d6c72e6.css">
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<div toc=""><ul toc=""><li entry="h1"><a href="#chapter-1">Chapter 1</a></li><li entry="h2"><a href="#%C2%A71.5-%7C%20the%20limit%20of%20a%20function">§1.5 | The Limit of a Function</a></li><li entry="h3"><a href="#vertical-asymptote-def">Vertical Asymptote (Definition §1.5.6)</a></li><li entry="h2"><a href="#%C2%A71.6-%7C%20calculating%20limits%20using%20the%20limit%20laws">§1.6 | Calculating Limits Using the Limit Laws</a></li><li entry="h3"><a href="#limit-laws">Limit Laws</a></li><li entry="h3"><a href="#power-law">Power Law</a></li><li entry="h3"><a href="#root-law">Root Law</a></li><li entry="h2"><a href="#%C2%A71.8-%7C%20continuity">§1.8 | Continuity</a></li><li entry="h3"><a href="#the-intermediate%20value%20theorem%20(ivt)">The Intermediate Value Theorem (IVT)</a></li></ul></div>
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<h1 id="chapter-1">Chapter 1</h1>

<img style="max-width: 800px;" src="https://cdn.kastatic.org/ka-perseus-images/a193121287b64721de28fcbfaec9f5919a367dd2.png">
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33 changes: 18 additions & 15 deletions docs/calc/chapter2/index.html
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<div toc=""><ul toc=""><li entry="h1"><a href="#chapter-2%20%7C%20derivatives">Chapter 2 | Derivatives</a></li></ul></div>
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<h1 id="chapter-2%20%7C%20derivatives">Chapter 2 | Derivatives</h1>
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<li><a href="https://xaktly.com/TheDerivative.html">The Derivative</a></li>
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37 changes: 20 additions & 17 deletions docs/calc/chapter3/index.html
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Expand All @@ -82,17 +81,17 @@
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<div toc=""><ul toc=""><li entry="h1"><a href="#chapter-3%20%7C%20applications%20of%20differentiation">Chapter 3 | Applications of Differentiation </a></li><li entry="h2"><a href="#3.1-%7C%20maximum%20and%20minimum%20values">3.1 | Maximum and Minimum Values</a></li><li entry="h3"><a href="#the-extreme%20value%20theorem">The extreme Value Theorem</a></li><li entry="h3"><a href="#the-extreme%20value%20theorem">The extreme Value Theorem</a></li><li entry="h3"><a href="#fermat%E2%80%99s-theorem">Fermat’s Theorem</a></li><li entry="h3"><a href="#fermat%E2%80%99s-theorem">Fermat’s Theorem</a></li><li entry="h3"><a href="#fermat%E2%80%99s-theorem%20(in%20terms%20of%20critical%20numbers)">Fermat’s Theorem (in terms of critical numbers)</a></li><li entry="h3"><a href="#critical-number">Critical Number</a></li><li entry="h3"><a href="#the-closed%20interval%20method">The Closed Interval Method</a></li><li entry="h3"><a href="#the-closed%20interval%20method">The Closed Interval Method</a></li><li entry="h2"><a href="#3.2-%7C%20the%20mean%20value%20theorem">3.2 | The Mean Value Theorem</a></li><li entry="h3"><a href="#rolle%E2%80%99s-theorem">Rolle’s Theorem</a></li><li entry="h3"><a href="#the-mean%20value%20theorem">The Mean Value Theorem</a></li><li entry="h3"><a href="#miscellaneous">Miscellaneous</a></li><li entry="h3"><a href="#theorem-(%C2%A73.2.5)">Theorem (§3.2.5)</a></li><li entry="h3"><a href="#corollary-(%C2%A73.2.7)">Corollary (§3.2.7)</a></li><li entry="h2"><a href="#3.3-%7C%20how%20derivatives%20affect%20the%20shape%20of%20a%20graph">3.3 | How Derivatives Affect the Shape of a Graph</a></li><li entry="h3"><a href="#what-does%20stem:%5Bf%5E%5Cprime%5D%20say%20about-f-?">What Does stem:[f^\prime] Say about <span inline="" math-inline="">\(f\)</span>?</a></li><li entry="h3"><a href="#increasing/decreasing-(i/d)%20test">Increasing/Decreasing (I/D) Test</a></li><li entry="h3"><a href="#the-first%20derivative%20test">The First Derivative Test</a></li><li entry="h3"><a href="#what-does-f%5E%7B%5Cprime%5Cprime%7D-say%20about-f-?">What Does <span inline="" math-inline="">\(f^{\prime\prime}\)</span> Say about <span inline="" math-inline="">\(f\)</span>?</a></li><li entry="h3"><a href="#concavity-test">Concavity Test</a></li><li entry="h4"><a href="#concavity-test%20(alternative)">Concavity Test (Alternative)</a></li><li entry="h3"><a href="#regarding-concavity%20and%20extrema">Regarding Concavity and Extrema</a></li><li entry="h4"><a href="#the-following%20three%20scenarios%20are%20possible:">The following three scenarios are possible:</a></li><li entry="h5"><a href="#the-sign%20of-f%5E%7B%5Cprime%5Cprime%7D-is%20changing%20from%20negative%20to%20positive">The sign of <span inline="" math-inline="">\(f^{\prime\prime}\)</span> is changing from negative to positive</a></li><li entry="h5"><a href="#the-sign%20of-f%5E%7B%5Cprime%5Cprime%7D-is%20changing%20from%20positive%20to%20negative.">The sign of <span inline="" math-inline="">\(f^{\prime\prime}\)</span> is changing from positive to negative.</a></li><li entry="h5"><a href="#the-sign%20of-f%5E%7B%5Cprime%5Cprime%7D-is%20not%20changing%20at-x%20=%20c">The sign of <span inline="" math-inline="">\(f^{\prime\prime}\)</span> is not changing at <span inline="" math-inline="">\(x = c\)</span></a></li><li entry="h4"><a href="#the-inflection%20points%20test">The Inflection Points Test</a></li><li entry="h4"><a href="#what-f%5E%7B%5Cprime%5Cprime%7D-says-about-f%5E%7B%5Cprime%7D-(alternative)">What <span inline="" math-inline="">\(f^{\prime\prime}\)</span> says about <span inline="" math-inline="">\(f^{\prime}\)</span> <small>(Alternative)</small></a></li><li entry="h3"><a href="#inflection-points">Inflection Points</a></li><li entry="h3"><a href="#inflection-points%20(alternative)">Inflection Points (Alternative)</a></li><li entry="h3"><a href="#miscellaneous">Miscellaneous</a></li><li entry="h3"><a href="#the-second%20derivative%20test">The Second Derivative Test</a></li><li entry="h2"><a href="#horizontal-asymptotes-section">3.4 | Limits at Infinity; Horizontal Asymptotes</a></li><li entry="h3"><a href="#miscellaneous">Miscellaneous</a></li><li entry="h4"><a href="#%5Clim_%7Bx-%5Cto%20%5Cinfty%7D%20%5Csin%5Cleft(%5Cfrac%7B1%7D%7Bx%7D%5Cright)"><span inline="" math-inline="">\(\lim_{x \to \infty} \sin\left(\frac{1}{x}\right)\)</span></a></li><li entry="h3"><a href="#theorem-(3.4)%20#4">Theorem (3.4) #4</a></li><li entry="h2"><a href="#3.5-%7C%20summary%20curve%20sketching">3.5 | Summary Curve Sketching</a></li><li entry="h3"><a href="#curve-sketching%20steps:">Curve Sketching Steps:</a></li><li entry="h4"><a href="#domain">Domain</a></li><li entry="h4"><a href="#intercepts">Intercepts</a></li><li entry="h4"><a href="#symmetry">Symmetry</a></li><li entry="h4"><a href="#asymptotes">Asymptotes</a></li><li entry="h5"><a href="#vertical-asymptotes">Vertical Asymptotes</a></li><li entry="h5"><a href="#horizontal-asymptotes">Horizontal Asymptotes</a></li><li entry="h6"><a href="#to-find%20horizontal%20asymptotes">To find horizontal asymptotes</a></li><li entry="h5"><a href="#slant-asymptotes">Slant Asymptotes</a></li><li entry="h4"><a href="#the-first%20derivative">The First Derivative</a></li><li entry="h5"><a href="#intervals-of%20increase%20or%20decrease">Intervals of Increase or Decrease</a></li><li entry="h5"><a href="#local-maximum%20and%20minimum%20values:">Local Maximum and Minimum Values:</a></li><li entry="h4"><a href="#the-second%20derivative">The Second Derivative</a></li><li entry="h5"><a href="#concavity-and%20points%20of%20inflection">Concavity and Points of Inflection</a></li><li entry="h4"><a href="#sketch-the%20curve">Sketch the Curve</a></li><li entry="h3"><a href="#miscellaneous">Miscellaneous</a></li><li entry="h4"><a href="#first-and%20second%20derivative%20for%20curve%20shape">First and second derivative for curve shape</a></li><li entry="h2"><a href="#3.6-%7C%20calculus%20with%20graphing%20calculators%20(skipped)">3.6 | Calculus with Graphing Calculators (Skipped)</a></li><li entry="h2"><a href="#3.7-%7C%20optimization%20problems">3.7 | Optimization Problems</a></li><li entry="h3"><a href="#first-derivative%20test%20for%20absolute%20extreme%20values">First Derivative Test for Absolute Extreme Values</a></li><li entry="h2"><a href="#3.8-%7C%20newtons%20method">3.8 | Newtons Method</a></li><li entry="h2"><a href="#3.9-%7C%20anti-derivatives">3.9 | Anti-Derivatives</a></li></ul></div>
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</header>
<h1 id="chapter-3%20%7C%20applications%20of%20differentiation">Chapter 3 | Applications of Differentiation </h1>

<h2 id="3.1-%7C%20maximum%20and%20minimum%20values">3.1 | Maximum and Minimum Values</h2>
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