Visual guide · Calculus I · Unit 2A

Derivative Rules Map: How to Choose a Differentiation Rule

A standalone decision map for recognizing constant, power, product, quotient, and composition structure.

Reference format10 min estimated timeReference progression

What is included

Use a downloadable derivative-rules map to identify the outer algebraic structure before differentiating.

Skills assessed

  • derivative-rule selection

Prerequisites

  • function notation
Derivative Rules Map instructional sequence
A standalone decision map for recognizing constant, power, product, quotient, and composition structure. The numbered labels and written sequence preserve meaning without relying on color.
Long description

Read the diagram from top to bottom. Each numbered box names one decision or mathematical operation. Arrows show the required order; the text labels remain the complete interpretation in print, dark mode, and nonvisual reading.

Printable and accessible

Download this resource

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Reference formulas

Rule-selection sequence

sumlinearity\text{sum}\to\text{linearity}product(fg)\text{product}\to(fg)'quotient(f/g)\text{quotient}\to(f/g)'compositionchain rule\text{composition}\to\text{chain rule}

Common errors

  • Choosing from visual symbols before identifying the outer operation.