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Applying derivatives to analyze functions

This course contains 13 segments:

Using the mean value theorem

Extreme value theorem, global versus local extrema, and critical points

Determining intervals on which a function is increasing or decreasing

Using the first derivative test to find relative (local) extrema

Using the candidates test to find absolute (global) extrema

Determining concavity of intervals and finding points of inflection: graphical

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This course contains 13 segments:

Using the mean value theorem

Extreme value theorem, global versus local extrema, and critical points

Determining intervals on which a function is increasing or decreasing

Using the first derivative test to find relative (local) extrema

Using the candidates test to find absolute (global) extrema

Determining concavity of intervals and finding points of inflection: graphical

Determining concavity of intervals and finding points of inflection: algebraic

Using the second derivative test to find extrema

Sketching curves of functions and their derivatives

Connecting a function, its first derivative, and its second derivative

Solving optimization problems

Exploring behaviors of implicit relations

Calculator-active practice

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Time
6 hours
Via
Khan Academy
This course belongs to a collection called AP®︎ Calculus BC. It's comprised of 12 courses:
  1. Infinite sequences and series
  2. Limits and continuity
  3. Differentiation: definition and basic derivative rules
  4. Differentiation: composite, implicit, and inverse functions
  5. Contextual applications of differentiation
  6. Applying derivatives to analyze functions (viewing)
  7. Integration and accumulation of change
  8. Differential equations
  9. Applications of integration
  10. Parametric equations, polar coordinates, and vector-valued functions
  11. AP Calculus BC solved exams
  12. AP®︎ Calculus BC Standards mappings
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