What's on the AP Calculus BC Unit 5 practice test

The standard version takes about 78 minutes and follows the timing and directions of the AP exam, sized to one unit:

• 20 Multiple Choice Questions (48 minutes)
• 1 FRQ – FRQs – Graphing calculator required (15 minutes)
• 1 FRQ – FRQs – No graphing calculator (15 minutes)

Questions are drawn from 2161 multiple-choice questions and 4 FRQs written for Unit 5, Analytical Applications of Differentiation.

Review Unit 5 before you start

• 5.1 Using the Mean Value Theorem
• 5.2 Extreme Value Theorem, Global vs Local Extrema, and Critical Points
• 5.3 Determining Intervals on Which a Function is Increasing or Decreasing
• 5.4 Using the First Derivative Test to Determine Relative (Local) Extrema
• 5.5 Using the Candidates Test to Determine Absolute (Global) Extrema
• 5.6 Determining Concavity
• 5.7 Using the Second Derivative Test to Determine Extrema
• 5.8 Sketching Graphs of Functions and Their Derivatives
• 5.9 Connecting a Function, Its First Derivative, and its Second Derivative
• 5.10 Introduction to Optimization Problems
• 5.11 Solving Optimization Problems
• 5.12 Exploring Behaviors of Implicit Relations

Other AP Calculus BC unit tests

• Unit 1: Limits and Continuity
• Unit 2: Fundamentals of Differentiation
• Unit 3: Composite, Implicit, and Inverse Functions
• Unit 4: Contextual Applications of Differentiation
• Unit 6: Integration and Accumulation of Change
• Unit 7: Differential Equations
• Unit 8: Applications of Integration
• Unit 9: Parametric Equations, Polar Coordinates, and Vector–Valued Functions (BC Only)
• Unit 10: Infinite Sequences and Series (BC Only)