Unit 2: Differentiation-Limit Definition and Fundamental Properties

Derivatives are some of the most fundamental tools of calculus. Just like limits were an extension of the algebra idea of a function value, derivatives are an extension of an algebra tool you have used a ton, finding the slope (average rate of change) of a curve.

Remember throughout this derivative process all you are doing over and over again is finding the slope of a curve.

Unit 2: Differentiation Flash Cards

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What is a Derivative?

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Slope of Tangent Line Examples from Actual AP Exams

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Differentiability Examples From Actual AP Exams

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Limit Definition of the Derivative Examples from Actual AP Exams

Meaning: Limit Definition of the Derivative

Identifier: Limit Definition of the Derivative

Method: Limit Definition of the Derivative

Example 1: Limit Definition of the Derivative

The 5 Main Derivative Rules

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Roots or Radicals

x’s on the Bottom of a Fraction

Trig Functions Raised to a Power

Look to Make Your Life Easier

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Identifier: Derivative of Constants

Method: Derivative of Constants

Example 1: Derivative of a Constant

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Power Rule Examples from Actual AP Exams

Identifier: Power Rule Derivative

Method: Power Rule Derivative

Example 1: Power Rule Derivative

Example 2: Power Rule Derivative

Example 3: Power Rule Derivative

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Product Rule Examples from Actual AP Exams

Identifier: Product Rule Derivative

Method: Product Rule Derivative

Example 1: Product Rule Derivative

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Quotient Rule Derivative Examples from Actual AP Exams

Identifier: Quotient Rule Derivative

Method: Quotient Rule Derivative

Example 1: Quotient Rule Derivative

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Chain Rule Examples From Actual AP Exams

Identifier: Chain Rule Derivative

Method: Chain Rule Derivative

Example 1: Chain Rule Derivative

Special Case Derivatives: Your new multiplication tables

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Trig Function Derivative Examples From Actual AP Exams

Identifier: Trig Function Derivatives

Method: Trig Function Derivatives

Example 1: Trig Function Derivatives

Example 2: Trig Function Derivatives

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Inverse Trig Derivative Examples from Actual AP Exams

Identifier: Inverse Trig Derivatives

Method: Inverse Trig Derivatives

Example 1: Inverse Trig Derivatives

Example 2: Inverse Trig Derivatives

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Derivative of ‘e’ Examples From Actual AP Exams

Identifier: e^(x) Derivative

Method: e^(x) Derivatives

Example 1: e^(x) Derivative

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Derivative of ln(x) Examples From Actual AP Exams

Identifier: ln(x) Derivative

Method: ln(x) Derivative

Example: ln(x) Derivative

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Identifier: a^(x) Derivative

Method: a^(x) Derivative

Example 1: a^(x) Derivative

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Identifier: Logarithm Derivative

Method: Logarithm Derivative

Example 1: Logarithm Derivative

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Derivative of Inverse Functions Examples from Actual AP Exams

Identifier: Inverse Function Derivative

Method: Inverse Function Derivative

Example 1: Inverse Function Derivative

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