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AP Calculus AB

In this AP Calculus AB lesson, we explore the importance of analyzing functions by studying intercepts, asymptotes, extrema, inflection points, and intervals of concavity. We will focus on a specific function at x = 2, identifying key characteristics such as horizontal and oblique asymptotes. Intervals will be sketched based on test values derived from the first and second derivatives. Understanding these concepts is crucial for mastering calculus and preparing for AP exams. Join us as we deepen our understanding of function behavior!

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AP Calculus AB

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  1. AP Calculus AB Day 8 Section 3.6 Perkins

  2. VA at x = 2 • Include intercepts, asymptotes, extrema, inflection points, and intervals of concavity. Sketch

  3. Intervals: Intercepts: Test values: f ’’(test pt) No x-int f(x) f ’(test pt) f(x) rel min No inf pts rel max Asymptotes: Oblique Asymptote at remainder VA at x = 2

  4. AP Calculus AB Day 8 Section 3.6 Perkins

  5. Include intercepts, asymptotes, extrema, inflection points, and intervals of concavity. Sketch

  6. Intervals: Intercepts: Test values: f ’’(test pt) f(x) f ’(test pt) f(x) Asymptotes:

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