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Unit 4 Overview: Contextual Applications of Differentiation

1 min readβ€’february 15, 2024

Meghan Dwyer

Meghan Dwyer


AP Calculus AB/BC ♾️

279Β resources
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Now that you have mastered the rules and formulas of differentiation, it is time for us to apply them! This section focuses on taking all the previous derivative rules and applying them in different contexts.Β 

πŸ” Prerequisite Information

In order to be able to successfully understand this section, you need to know the difference between an average rate of change and an instantaneous rate of change.Β 
This section requires you to know how to differentiate usingΒ 
  • Power Rule
  • Product Rule
  • Quotient Rule
  • Chain Rule
  • Implicit Differentiation
It also requires you to know how to derive:
  • Trigonometric Functions
  • Inverse Trigonometric Functions
  • Inverse Functions
  • Logarithmic Functions
  • Exponential Functions
Besides all of the calculus prerequisite information, we will also be working on using some formulas you would have learned in previous courses, such as formulas for:
  • Area
  • Volume
  • Perimeter
  • Circumference
  • Pythagorean Theorem
Browse Study Guides By Unit
πŸ‘‘Unit 1 – Limits & Continuity
πŸ€“Unit 2 – Fundamentals of Differentiation
πŸ€™πŸ½Unit 3 – Composite, Implicit, & Inverse Functions
πŸ‘€Unit 4 – Contextual Applications of Differentiation
✨Unit 5 – Analytical Applications of Differentiation
πŸ”₯Unit 6 – Integration & Accumulation of Change
πŸ’ŽUnit 7 – Differential Equations
🐢Unit 8 – Applications of Integration
πŸ¦–Unit 9 – Parametric Equations, Polar Coordinates, & Vector-Valued Functions (BC Only)
β™ΎUnit 10 – Infinite Sequences & Series (BC Only)
πŸ“šStudy Tools
πŸ€”Exam Skills

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