AP Calculus example problems.

Master the Exam with Live AP Calculus Group Reviews

My AP Calculus group review sessions focus on the specific problem types that consistently appear on the College Board AP exam. I don’t just show you the answer; I walk you through step-by-step solutions for both Multiple Choice (MCQ) and Free Response Questions (FRQ).

I will cover every angle of the test, including:

  • Calculator Required sections (mastering your TI-84)

  • No-Calculator sections (strengthening your core calculus logic)

Interactive & Resource-Rich:
I solve problems live on-screen, answering your questions in real-time. To ensure you stay focused on learning rather than frantic note-taking, every student receives:

  • Complete Session Notes: A PDF of everything I write on the screen.

  • Unlimited Video Replays: Access the recording to study at your own pace until exam day.

Topics

  • Limits and Continuity
  • Derivative Applications
  • Implicit Differentiation
  •  Riemann Sums
  • Antiderivatives/Integrals
  • Differential Equations
  • Antiderivative Applications

Limits and Continuity

Topics covered will include:

  • Limits involving inverse trig functions, functions, and derivatives.
  • Horizontal asymptotes (limits at infinity)
  • Squeeze Theorem
  • L’Hospital’s Rule
  • Definition of Continuity
  • Intermediate Value Theorem
  • Mean Value Theorem

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Derivative Applications

Topics covered will include:

  • Chain Rule
  • Derivatives inside Derivatives.
  • Tangent Line Approximation
  • Reading 1st Derivative and 2nd Derivatives off graphs.
  • Determining Local Max/Mins
  • Finding Absolute Max/Mins
  • Determining Concavity and Points of Inflection
  • Physics Examples (changing direction, speeding up/slowing down)

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Implicit Differentiation

Topics covered will include:

  • Implicit Differentiation to Find dy/dx.
  • Finding Horizontal Tangent Lines
  • Finding Vertical Tangent Lines
  • Finding and Applying the 2nd Derivative
  • Related Rates

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Riemann and Trapezoidal Sums

Topics covered will include:

  • Left and Right Hand Sums off tables and using equation.
  • Trapezoidal Sums
  • Estimating Riemann and Trapezoidal Sums off a graph.

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Antiderivatives-Integrals

Topics covered will include:

  • Fundamental Theorem of Calculus Part 1
  • Fundamental Theorem of Calculus Part 2 (Definite Integrals)
  • U-Substitution
  • Physics Relationships

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Differential Equations

Topics covered will include:

  • Slope Fields
  • Creating Differential Equations
  • Solutions to Differential Equations
  • Separable Differential Equations

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Antiderivative Applications

Topics covered will include:

  • Average Value
  • Area of a Region Bounded by 2-Curves
  • Total Displacement vs. Total Distance
  • Volume: Cross Sectional Areas
  • Volume: Disk Method
  • Volume: Washer Method

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That AP Calculus exam is closer than you think!

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