Unit 4 Overview: Contextual Applications of Differentiation
1 min read•june 18, 2024
Meghan Dwyer
Meghan Dwyer
AP Calculus AB/BC ♾️
279 resourcesSee Units
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.
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.
This section requires you to know how to differentiate using
- 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
👑Unit 1 – Limits & Continuity
🤓Unit 2 – Fundamentals of Differentiation
🤙🏽Unit 3 – Composite, Implicit, & Inverse Functions
👀Unit 4 – Contextual Applications of Differentiation
✨Unit 5 – Analytical Applications of Differentiation
🔥Unit 6 – Integration & Accumulation of Change
💎Unit 7 – Differential Equations
🐶Unit 8 – Applications of Integration
🦖Unit 9 – Parametric Equations, Polar Coordinates, & Vector-Valued Functions (BC Only)
♾Unit 10 – Infinite Sequences & Series (BC Only)
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