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ap calc study guides

๐Ÿ‘‘ย  Unit 1: Limits & Continuity

๐Ÿถย  Unit 8: Applications of Integration

โ™พย  Unit 10: Infinite Sequences and Series (BC Only)

4.0 Unit 4 Overview: Contextual Applications of Differentiation

#overview

#unit4

โฑ๏ธย ย 1 min read

written by

Meghan Dwyer

meghan dwyer


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.ย 

๐Ÿ” 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.ย 

This section requires you to know how to differentiate usingย 

  • 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

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