Name: The Limit Definition of the Derivative
Uploaded: 2019-09-24T00:00:00.000Z
Duration: T00H57M06S

AP Calculus AB/BC

In this stream we talked about expanding our concept of "Rate of Change" from Average Rate of Change to Instantaneous Rate of Change (or slope of a function at a single point). We then used this idea to define the derivative using limits and practice finding derivatives using the limit definition of derivatives. A focus was made on being able to interpret the results. 

The Limit Definition of the Derivative

AP Calculus AB/BC Exams

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Unit 1: Limits & Continuity

Unit 2: Differentiation: Definition & Fundamental Properties

Unit 3: Differentiation: Composite, Implicit & Inverse Functions

Unit 4: Contextual Applications of the Differentiation

Unit 5: Analytical Applications of Differentiation

Unit 6: Integration and Accumulation of Change

Unit 7: Differential Equations

Unit 8: Applications of Integration

Unit 9: Parametric Equations, Polar Coordinates & Vector Valued Functions (BC Only)

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The Limit Definition of the Derivative