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Chain Rule | Study Mondo

Chain Rule

Chain rule, implicit differentiation, and related rates

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∫ Chain Rule

Apply the chain rule to composite functions, use implicit differentiation, and solve related rates problems.

📚 Practice Problems

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📋 AP Calculus AB — Exam Format Guide

⏱ 3 hours 15 minutes📝 51 questions📊 4 sections

Section	Format	Questions	Time	Weight	Calculator
Multiple Choice (No Calculator)	MCQ	30	60 min	33.3%	🚫
Multiple Choice (Calculator)	MCQ	15	45 min	16.7%	✅
Free Response (Calculator)	FRQ	2	30 min	16.7%	✅
Free Response (No Calculator)	FRQ	4	60 min	33.3%	🚫

📊 Scoring: 1-5

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💡 Key Test-Day Tips

✓Show all work on FRQs
✓Use proper notation
✓Check units
✓Manage your time

⚠️ Common Mistakes: Chain Rule

Avoid these 4 frequent errors

🌍 Real-World Applications: Chain Rule

See how this math is used in the real world

📝 Worked Example: Related Rates — Expanding Circle

Problem:

A stone is dropped into a still pond, creating a circular ripple. The radius of the ripple is increasing at a rate of $2$ cm/s. How fast is the area of the circle increasing when the radius is $10$ cm?

2Write the relationship between variables

3Differentiate both sides with respect to time

4Substitute known values

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Basic Differentiation Rules

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Inverse Functions & Derivatives

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📌 Related Topics in Differentiation Fundamentals

Definition of the Derivative Basic Differentiation Rules Inverse Functions & Derivatives

❓ Frequently Asked Questions

What is Chain Rule?▾

Chain rule, implicit differentiation, and related rates

How can I study Chain Rule effectively?▾

Start by reading the study notes and working through the examples on this page. Then use the flashcards to test your recall. Regular review and active practice are key to retention.

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What course covers Chain Rule?▾

Chain Rule is part of the AP Calculus AB course on Study Mondo, specifically in the Differentiation Fundamentals section. You can explore the full course for more related topics and practice resources.