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3.10 Connecting Derivatives and Limits

AP Calculus AB

Connecting Derivatives and Limits

Limits that are derivatives in disguise

Pattern 1: standard form

Pattern 2: alternative form

Pattern 3: symmetric difference quotient

Common limit-derivative recognition

Using L'Hôpital's rule preview

Derivative-based limit evaluation

More complex examples

AP exam tips

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Vocabulary

Unit 3 topics

Unit 3 overview13.1 The Chain Rule23.2 Applying the Chain Rule33.3 Implicit Differentiation43.4 Differentiating Inverse Functions53.5 Differentiating Inverse Trigonometric Functions63.6 Selecting Procedures for Calculating Derivatives73.7 Applying Multiple Differentiation Rules83.8 Calculating Higher-Order Derivatives93.9 Second Derivatives of Implicit Equations103.10 Connecting Derivatives and Limits
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