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Differentiate in a Day

Defining the Derivative (Optional)

Average and Instantaneous Rate of Change (15:04)
The Limit Definition of a Tangent Line Slope (14:17)
Defining The Derivative (14:47)

The Power Rule and Other Key Techniques

Derivative Notation (8:33)
The Power Rule (15:09)
The Product Rule (14:48)
The Quotient Rule (12:54)
Differentiating Trigonometric Functions (10:25)
Practice Questions

The Chain Rule & Advanced Techniques

The Chain Rule (17:21)
Second Derivates (11:23)
Combining Differentiation Rules (15:52)
Differentiating Exponential Functions (14:33)
Differentiating Logarithmic Functions (10:57)
Differentiating Inverse Trigonometric Functions (9:22)
Implicit Differentiation (17:28)
Practice Questions

Applications of Derivatives

The Equation of a Tangent to a Curve (14:37)
Determining Whether a Function is Increasing or Decreasing (18:50)
Determining Local Extrema of a Function (15:20)
2nd Derivative Test (15:50)
Points of Inflection (14:38)
Determining the Nature of Stationary Points (16:28)
Sketching Curves (18:56)
Practice Questions

Additional Resources

Formula List

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Formula List

Formula list for the Differentiate in a Day course.

Differentiation Formula List.pdf

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