Estimating Derivatives Numerically and Graphically
Estimating derivatives from a table
Three estimation methods
Worked example
Unequally spaced data
Estimating derivatives from a graph
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Sign of the derivative from a graph
Sketching $f'$ from $f$
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Example: matching $f$ and $f'$
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)