The Chain Rule PreQuiz Simple Derivatives Complex Derivatives

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The Chain Rule

The Chain Rule

Pre-Quiz • Simple Derivatives • Complex Derivatives • Trigonometry Derivatives

Pre-Quiz • Simple Derivatives • Complex Derivatives • Trigonometry Derivatives

INCORRECT ***Remember that the derivative of a lone integer is 0!***

INCORRECT ***Remember that the derivative of a lone integer is 0!***

CORRECT I’m Lovin’ It

CORRECT I’m Lovin’ It

INCORRECT ***Don’t forget to distribute!***

INCORRECT ***Don’t forget to distribute!***

CORRECT I’m Lovin’ It

CORRECT I’m Lovin’ It

INCORRECT ***Watch your signs when taking the derivative of trig functions!***

INCORRECT ***Watch your signs when taking the derivative of trig functions!***

CORRECT I’m Lovin’ It

CORRECT I’m Lovin’ It

CONGRATS! NOW LET’S LEARN THE CHAIN RULE!

CONGRATS! NOW LET’S LEARN THE CHAIN RULE!

What is chain rule? •

What is chain rule? •

Objective of the Chain Rule The Chain Rule is used when a simple derivative

Objective of the Chain Rule The Chain Rule is used when a simple derivative can not be taken for a function because the function is too complex and not easily factorable, or when the function is not common, such as trig functions, and e & ln functions. The Chain Rule makes life easier for everyone!

How to find the “inside” function or g(x)

How to find the “inside” function or g(x)

Recognizing the outside function or f(x)

Recognizing the outside function or f(x)

First Example: Chain Rule with Exponents Let’s get started! Click the button to start

First Example: Chain Rule with Exponents Let’s get started! Click the button to start learning

2. ) Take the derivative of ONLY the outer function and leave the inner

2. ) Take the derivative of ONLY the outer function and leave the inner function alone. 3. ) Find the derivative of the INNER function.

HOT POTATOE QUIZ Click Potato To Start

HOT POTATOE QUIZ Click Potato To Start

INCORRECT

INCORRECT

CORRECT I’m Lovin’ It

CORRECT I’m Lovin’ It

Second Example: Chain Rule with Root Functions Let’s get started! Click the button to

Second Example: Chain Rule with Root Functions Let’s get started! Click the button to start learning

1. ) Rewrite the function to understand what you have: 3. ) Take the

1. ) Rewrite the function to understand what you have: 3. ) Take the derivative of ONLY the outer function and leave the inner function alone. 4. ) Find the derivative of the INNER function.

HOT POTATOE QUIZ Click Potato To Start

HOT POTATOE QUIZ Click Potato To Start

INCORRECT ***Don’t forget to first rewrite the function to be able to determine the

INCORRECT ***Don’t forget to first rewrite the function to be able to determine the outside function!***

CORRECT I’m Lovin’ It

CORRECT I’m Lovin’ It

Third Example: Chain Rule with Trig Functions Let’s get started! Click the button to

Third Example: Chain Rule with Trig Functions Let’s get started! Click the button to start learning

2. ) Take the derivative of ONLY the outer function and leave the inner

2. ) Take the derivative of ONLY the outer function and leave the inner function alone. 3. ) Find the derivative of the INNER function.

HOT POTATOE QUIZ Click Potato To Start

HOT POTATOE QUIZ Click Potato To Start

INCORRECT ***Don’t forget to include the derivative of the inside function!***

INCORRECT ***Don’t forget to include the derivative of the inside function!***

CORRECT I’m Lovin’ It

CORRECT I’m Lovin’ It

Common Errors and Mistakes •

Common Errors and Mistakes •

Take this test or be MASHED **Click the picture to begin!**

Take this test or be MASHED **Click the picture to begin!**

INCORRECT

INCORRECT

CORRECT I’m Lovin’ It

CORRECT I’m Lovin’ It

INCORRECT

INCORRECT

CORRECT I’m Lovin’ It

CORRECT I’m Lovin’ It

INCORRECT

INCORRECT

CORRECT I’m Lovin’ It

CORRECT I’m Lovin’ It

INCORRECT

INCORRECT

CORRECT I’m Lovin’ It

CORRECT I’m Lovin’ It

CONGRATS! NOW KEEP MASHING THE CHAIN RULE!

CONGRATS! NOW KEEP MASHING THE CHAIN RULE!

PREQUIZ COMING UP PREQUIZ 1 What two conditionsPREQUIZ COMING UP PREQUIZ 1 What two conditions
Differentiation Derivatives and differentials Power rule Chain ruleDifferentiation Derivatives and differentials Power rule Chain rule
2 5 The Chain Rule The Chain Rule2 5 The Chain Rule The Chain Rule
14 5 The Chain Rule The Chain Rule14 5 The Chain Rule The Chain Rule
Module Derivatives and Related Accounting Issues Derivatives DerivativesModule Derivatives and Related Accounting Issues Derivatives Derivatives
CREDIT DERIVATIVES WHAT ARE CREDIT DERIVATIVES Credit derivativesCREDIT DERIVATIVES WHAT ARE CREDIT DERIVATIVES Credit derivatives
Derivatives part I 1 Derivatives Derivatives are financialDerivatives part I 1 Derivatives Derivatives are financial
Derivatives and Gradients Derivatives Derivatives tell us whichDerivatives and Gradients Derivatives Derivatives tell us which
3 DERIVATIVES DERIVATIVES 3 4 Derivatives of Trigonometric3 DERIVATIVES DERIVATIVES 3 4 Derivatives of Trigonometric
Derivatives part I 1 Derivatives Derivatives are financialDerivatives part I 1 Derivatives Derivatives are financial
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SIMPLE SUBJECT SIMPLE PREDICATE SIMPLE SUBJECT A simpleSIMPLE SUBJECT SIMPLE PREDICATE SIMPLE SUBJECT A simple
Present Simple Past Simple Future Simple PRESENT SIMPLEPresent Simple Past Simple Future Simple PRESENT SIMPLE
Simple Present Simple Past Simple Future Simple PresentSimple Present Simple Past Simple Future Simple Present
Simple Machines Simple Machines Simple machines are simpleSimple Machines Simple Machines Simple machines are simple
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Supply Chain Management Supply Chain Management Supply ChainSupply Chain Management Supply Chain Management Supply Chain
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