The Power Rule
Statement of the power rule
Proof for positive integers (from the definition)
Examples with positive integer exponents
The constant rule (power rule with $n = 0$)
Negative exponents
Fractional exponents
Complete reference table
The constant multiple rule
Workflow
Common mistakes
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AP exam tips
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Vocabulary
Unit 2 topics
Unit 2 overview12.1 Defining Average and Instantaneous Rates of Change22.2 Defining the Derivative of a Function32.3 Using Derivative Notation42.4 Estimating Derivatives at a Point52.5 Connecting Differentiability and Continuity62.6 Applying the Power Rule72.7 Derivative Rules: Constant, Sum, Difference, and Constant Multiple82.8 Connecting Derivative Rules with the Power Rule92.9 Derivatives of sin(x), cos(x), eˣ, and ln(x)102.10 The Product Rule112.11 The Quotient Rule122.12 Derivatives of tan(x), cot(x), sec(x), and csc(x)