Differentiation: Definition And Basic Derivative Rules

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Topic 1

Defining Average and Instantaneous Rates of Change at a Point

Topic 2

Defining the Derivative of a Function and Using Derivative Notation

Topic 3

Estimating Derivatives of a Function at a Point

Topic 4

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

Topic 5

Applying the Power Rule

Topic 6

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

Topic 7

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

Topic 8

The Product Rule

Topic 9

The Quotient Rule

Topic 10

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