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2

Differentiation: Definition and Fundamental Properties

Define the derivative as a limit and learn the basic differentiation rules.

Topics

10

Exam Weight

10-15%

Progress

0%

1 of 10 topics written

Topics in this unit

Defining Average and Instantaneous Rates of Change at a Point

Locked
2.2

Defining the Derivative of a Function and Using Derivative Notation

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2.3

Estimating Derivatives of a Function at a Point

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2.4

Connecting Differentiability and Continuity: Determining When Derivatives Do and Do Not Exist

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2.5

Applying the Power Rule

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2.6

Derivative Rules: Constant, Sum, Difference, and Constant Multiple

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2.7

Derivatives of cos x, sin x, e^x, and ln x

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2.8

The Product Rule

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2.9

The Quotient Rule

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2.10

Finding the Derivatives of Tangent, Cotangent, Secant, and/or Cosecant Functions

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Unit Progress Check

Test your understanding of all topics in this unit with a comprehensive progress check.