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Answer Key — Analytical Applications of Differentiation

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Calculus BC · AP

Do not share with students before practice tests.

Worksheets — Sets 1–10

| Set | Guidance | | --- | --- | | Set 1 | Analytical Applications of Differentiation — verify written work and accept reasonable drawings. | | Set 2 | Analytical Applications of Differentiation — verify written work and accept reasonable drawings. | | Set 3 | Analytical Applications of Differentiation — verify written work and accept reasonable drawings. | | Set 4 | Analytical Applications of Differentiation — verify written work and accept reasonable drawings. | | Set 5 | Analytical Applications of Differentiation — verify written work and accept reasonable drawings. | | Set 6 | Analytical Applications of Differentiation — verify written work and accept reasonable drawings. | | Set 7 | Analytical Applications of Differentiation — verify written work and accept reasonable drawings. | | Set 8 | Analytical Applications of Differentiation — verify written work and accept reasonable drawings. | | Set 9 | Analytical Applications of Differentiation — verify written work and accept reasonable drawings. | | Set 10 | Analytical Applications of Differentiation — verify written work and accept reasonable drawings. |

Worksheets — Sets 11–20

| Set | Guidance | | --- | --- | | Set 11 | Analytical Applications of Differentiation — verify written work and accept reasonable drawings. | | Set 12 | Analytical Applications of Differentiation — verify written work and accept reasonable drawings. | | Set 13 | Analytical Applications of Differentiation — verify written work and accept reasonable drawings. | | Set 14 | Analytical Applications of Differentiation — verify written work and accept reasonable drawings. | | Set 15 | Analytical Applications of Differentiation — verify written work and accept reasonable drawings. | | Set 16 | Analytical Applications of Differentiation — verify written work and accept reasonable drawings. | | Set 17 | Analytical Applications of Differentiation — verify written work and accept reasonable drawings. | | Set 18 | Analytical Applications of Differentiation — verify written work and accept reasonable drawings. | | Set 19 | Analytical Applications of Differentiation — verify written work and accept reasonable drawings. | | Set 20 | Analytical Applications of Differentiation — verify written work and accept reasonable drawings. |

Review tiers 1–10

  • Checklists are parent-judged.
  • Written items: verify against practice set patterns.
  • Standard text: Using the Mean Value Theorem FUN-1 Existence theorems allow us to draw conclusions about a function’s behavior on an Extreme Value Theorem, Global Versus Local Extrema, and Critical Points FUN-1 Determining Intervals on Which a Function Is Increasing or Decreasing FUN-4 A function’s derivative can be used to understand some behaviors Using the First Derivative Test to Determine Relative (Local) Extrema FUN-4 Using the Candidates Test to Determine Absolute (Global) Extrema FUN-4 Determining Concavity of Functions over Their Domains § AP Online Teacher Community

Practice test scoring

| Tier | Pass guidance | | --- | --- | | 1–3 | Most oral tasks smooth; majority of written correct | | 4–6 | 7/10+ total with clear understanding | | 7–8 | 9/12+ with explanations | | 9–10 | Near-perfect; ready to move on |

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