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Mean Value Theorem

Types of Problems:

Notes & Handouts

Practice 

Video and other resources

Digital Resources

Extreme Value Theorem

Types of Problems:

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Notes & Handouts

Practice

​Video and other resources

​Digital Resources

Analytical Applications of the First Derivative

​Types of Problems:

  • ​Determining the intervals that a function is increasing or decreasing
  • Using First Derivative to determine local extremes

​Practice

​Video and other resources

​Notes & Handouts

​​Digital Resources

Analytical Applications of the Second Derivative

​Types of Problems:

  • ​Using the Candidates Test to determine absolute extremes
  • Determining Concavity through use of Derivatives
  • Using the Second Derivative

​Practice

​Video and other resources

​Notes & Handouts

​Digital Resources

Sketching Graphs and their Derivatives

​​Types of Problems:

  • Sketching a graph of a function based on the equation of the function's derivative
  • Sketching a graph of a function based on the graph of the function's derivative

​​Notes & Handouts

​​Practice

​Video and other resources

​Digital Resources

Desmos Files

Connecting a Function to its First Derivative and its Second Derivative

​​Types of Problems:

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​​Practice

​Video and other resources

​​Notes & Handouts

​Digital Resources

Optimization through Calculus Methods

​​​Types of Problems:

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​​​Notes & Handouts

​​​Practice

​​Video and other resources

​​Digital Resources

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Additional Resources