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Unit 4

# 4.0 Unit 4 Overview: Contextual Applications of Differentiation

1 min readβ’june 7, 2020

Meghan Dwyer

### AP Calculus AB/BCΒ βΎοΈ

BookmarkedΒ 7.1kΒ β’Β 259Β 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

## π 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

## Resources:

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βΎUnit 10: Infinite Sequences and Series (BC Only)
πUnit 1: Limits & Continuity
π€Unit 2: Differentiation: Definition & Fundamental Properties
π€π½Unit 3: Differentiation: Composite, Implicit & Inverse Functions
πUnit 4: Contextual Applications of the Differentiation
β¨Unit 5: Analytical Applications of Differentiation
π₯Unit 6: Integration and Accumulation of Change
πUnit 7: Differential Equations
πΆUnit 8: Applications of Integration
π¦Unit 9: Parametric Equations, Polar Coordinates & Vector Valued Functions (BC Only)
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