Differentiation: composite, implicit and inverse functions

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Differentiation: composite, implicit and inverse functions

SAT Score Range

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4 sessions

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This series was cancelled on August 24, 2024. We're very sorry–you can explore more Calculus series here. All 1:1 and group chats related to this series are disabled 7 days after the last session.

About

Welcome to an exciting journey into the fascinating realm of calculus! In this thoughtfully designed series, tailored specifically for high school students, participants will embark on an exploration of the fundamental techniques of differentiation. Throughout our engaging sessions, we'll focus on unraveling the intricacies of composite functions, inverse functions, and implicit differentiation.
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What You'll Master:
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Unraveling Composite Functions: Gain proficiency in dissecting and differentiating functions nested within one another. Discover how to navigate through layers of complexity with ease using the powerful chain rule.
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Navigating Inverse Functions: Delve into the intricacies of inverse functions, learning how to differentiate and manipulate them effectively. Understand their role in solving equations and their significance in real-world applications.
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Mastery of Implicit Differentiation: Step into the realm of implicit functions, where equations aren't explicitly defined. Master the technique of implicitly differentiating these functions, crucial for tackling advanced calculus problems and scenarios.

Tutored by

WASAY H 🇵🇰

Certified in 12 topics

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I am a High School Student. I am here to help others by tutoring to make a positive contribution for the Community. I am friendly person, like meeting people and a good learner.

Schedule

✋ ATTENDANCE POLICY

Please message the tutor if you can't make it to the session, any student with an unexcused absence will be expelled from the series.

SESSION 1

27

Jul

SESSION 1

Differentiation: definition and basic derivative rules

Sat 5:00 PM - 6:00 PM UTCJul 27, 5:00 PM - 6:00 PM UTC

This session will focus on following topics:
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- Power rule
- Chain rule basics
- Chain rule and power rule misunderstandings
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SESSION 2

3

Aug

SESSION 2

Differentiation: definition and basic derivative rules

Sat 5:00 PM - 6:00 PM UTCAug 3, 5:00 PM - 6:00 PM UTC

Topics:
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- Identifying composite functions
- Derivative of cos⁡3x\cos^3xcos3x﻿
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- Derivative of sqrt(3x2−x)sqrt\left(3x^2-x\right)sqrt(3x2−x)﻿
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SESSION 3

10

Aug

SESSION 3

Differentiation: definition and basic derivative rules

Sat 5:00 PM - 6:00 PM UTCAug 10, 5:00 PM - 6:00 PM UTC

Topics:
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- Chain Rule with table
- Derivative of axa^xax﻿
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- Derivative of 7x2−x7^{x^2-x}7x2−x﻿
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SESSION 4

17

Aug

SESSION 4

Differentiation: definition and basic derivative rules

Sat 5:00 PM - 6:00 PM UTCAug 17, 5:00 PM - 6:00 PM UTC

Topics:
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- Introduction to implicit differentiation
- Worked examples
- Derivatives of inverse functions
_ Derivatives of inverse functions: Tables

Public Discussion

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Jul 27 - Aug 17

4 weeks

60 mins

/ session

SCHEDULE

Saturdays

5:00PM