The Chain Rule PreQuiz Simple Derivatives Complex Derivatives

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

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

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

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

CONGRATS! NOW LET’S LEARN THE CHAIN RULE!

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

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

Recognizing the outside function or f(x)

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

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

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

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

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

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

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

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

CONGRATS! NOW KEEP MASHING THE CHAIN RULE!

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The Chain Rule

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

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

CORRECT I’m Lovin’ It

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

CORRECT I’m Lovin’ It

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

CORRECT I’m Lovin’ It

CONGRATS! NOW LET’S LEARN THE CHAIN RULE!

What is chain rule? •

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)

Recognizing the outside function or f(x)

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 function alone. 3. ) Find the derivative of the INNER function.

HOT POTATOE QUIZ Click Potato To Start

INCORRECT

CORRECT I’m Lovin’ It

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 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