♾️ap calculus ab/bc review

Reasoning with derivatives

Written by the Fiveable Content Team • Last updated August 2025
Verified for the 2027 exam
Verified for the 2027 examWritten by the Fiveable Content Team • Last updated August 2025

Definition

The process of using properties of derivatives (such as sign and monotonicity) to draw conclusions about the original function (such as increasing/decreasing and concavity).

AP course connection

Topic 5.9: 5.9 Connecting a Function, Its First Derivative, and its Second Derivative

Unit 5

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