---
title: "AP Calculus AB Unit 5 Practice Test"
description: "A timed AP Calculus AB Unit 5 (Analytical Applications of Differentiation) practice test in the AP format, drawn from 1,330 multiple-choice questions and 3 FRQs written for the unit. The standard version takes about 63 minutes."
canonical: "https://fiveable.me/ap-calc-ab/unit-test/5"
type: "unit-test"
subject: "AP Calculus AB"
unit: "Unit 5"
---

# AP Calculus AB Unit 5 Practice Test

## Overview

A timed AP Calculus AB Unit 5 (Analytical Applications of Differentiation) practice test in the AP format, drawn from 1,330 multiple-choice questions and 3 FRQs written for the unit. The standard version takes about 63 minutes.

## Test Format

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

## Unit FRQs by Type

- [FRQs – No graphing calculator](/ap-calc/frqs/no-calculator?unit=5): 3 questions

## Review the Unit

- [5.1 Using the Mean Value Theorem](/ap-calc/unit-5/using-mean-value-theorem/study-guide/79sP2PXcyvRvBsjb3HRq)
- [5.2 Extreme Value Theorem, Global vs Local Extrema, and Critical Points](/ap-calc/unit-5/extreme-value-theorem-global-vs-local-extrema-critical-points/study-guide/xcQI1ZzNbmWJ5uRNiFCo)
- [5.3 Determining Intervals on Which a Function is Increasing or Decreasing](/ap-calc/unit-5/determining-intervals-on-which-function-is-increasing-or-decreasing/study-guide/Y2fgjyl7H1dKPI2YsB4Y)
- [5.4 Using the First Derivative Test to Determine Relative (Local) Extrema](/ap-calc/unit-5/using-first-derivative-test-to-determine-relative-local-extrema/study-guide/BjnQNCShz0uQiZGhSl2g)
- [5.5 Using the Candidates Test to Determine Absolute (Global) Extrema](/ap-calc/unit-5/using-candidates-test-to-determine-absolute-global-extrema/study-guide/2ONEsyKKR6nyMs3UOpOZ)
- [5.6 Determining Concavity](/ap-calc/unit-5/determining-concavity/study-guide/ORBIficQDT458eUIhJ0V)
- [5.7 Using the Second Derivative Test to Determine Extrema](/ap-calc/unit-5/using-second-derivative-test-determine-extrema/study-guide/g8rSveVmLeEuKLK4T7ep)
- [5.8 Sketching Graphs of Functions and Their Derivatives](/ap-calc/unit-5/sketching-graphs-functions-their-derivatives/study-guide/aT1iYD0w3cZ4vq9YNoLG)
- [5.9 Connecting a Function, Its First Derivative, and its Second Derivative ](/ap-calc/unit-5/connecting-a-function-its-first-derivative-and-its-second-derivative/study-guide/NQXfonM48ssVKKRHQ7Te)
- [5.10 Introduction to Optimization Problems](/ap-calc/unit-5/optimization-problems/study-guide/oepM07k8kwGY8zXZExoV)
- [5.11 Solving Optimization Problems](/ap-calc/unit-5/solving-optimization-problems/study-guide/u2Y3MpOG6kkTtbLH38S7)
- [5.12 Exploring Behaviors of Implicit Relations](/ap-calc/unit-5/exploring-behaviors-implicit-relations/study-guide/yRk3bNSDXIb7YidT78RL)

## Other Unit Tests

- [Unit 1: Limits and Continuity](/ap-calc-ab/unit-test/1)
- [Unit 2: Fundamentals of Differentiation](/ap-calc-ab/unit-test/2)
- [Unit 3: Composite, Implicit, and Inverse Functions](/ap-calc-ab/unit-test/3)
- [Unit 4: Contextual Applications of Differentiation](/ap-calc-ab/unit-test/4)
- [Unit 6: Integration and Accumulation of Change](/ap-calc-ab/unit-test/6)
- [Unit 7: Differential Equations](/ap-calc-ab/unit-test/7)
- [Unit 8: Applications of Integration](/ap-calc-ab/unit-test/8)

## About This Document

Canonical Fiveable pages are available as Markdown at the same path plus `.md`.

- [llms.txt](https://fiveable.me/llms.txt): index of Fiveable's sections and URL patterns
- [llms-full.txt](https://fiveable.me/llms-full.txt): complete subject and unit listing
- [MCP server](https://fiveable.me/mcp): call Fiveable as tools instead of fetching pages (`https://fiveable.me/api/mcp`)
- [MCP server for AP teachers](https://fiveable.me/mcp/teachers): a teacher's classes, assignments and AP-rubric grading (`https://fiveable.me/api/mcp/teacher`)