## Unit 6 - Derivative Rules

## 6.1 The Power Rule

This section is the beginning of a set of rules for differentiating functions without using the limit formulas. There is a complete set of rules that you can print in the 6.5 section below.

Please watch the video, print the homework page and complete the work and then check your work against the homework key.

Video: 6-1 power rule

Homework page: calc 6-1 questions.pdf

Homework key: calc 6-1 key.pdf

Please watch the video, print the homework page and complete the work and then check your work against the homework key.

Video: 6-1 power rule

Homework page: calc 6-1 questions.pdf

Homework key: calc 6-1 key.pdf

## 6.2 The Sum and Difference Rules

This section continues with more examples for the sum and difference rules.

Please watch the video, print the homework page and complete the work and then check your work against the homework key.

Video: 6-2 sum/difference rules

Homework page: calc 6-2 questions.pdf

Homework key: calc 6-2 key.pdf

Please watch the video, print the homework page and complete the work and then check your work against the homework key.

Video: 6-2 sum/difference rules

Homework page: calc 6-2 questions.pdf

Homework key: calc 6-2 key.pdf

## 6.3 The Product Rule

The rule in this section is a little more complicated but still fairly easy to apply.

Please watch the video, print the homework page and complete the work and then check your work against the homework key.

Video: 6-3 product rule

Homework page: calc 6-3 questions.pdf

Homework key: calc 6-3 key.pdf

Please watch the video, print the homework page and complete the work and then check your work against the homework key.

Video: 6-3 product rule

Homework page: calc 6-3 questions.pdf

Homework key: calc 6-3 key.pdf

## 6.4 The Quotient Rule

The quotient rule in this section is the one that I find the most difficult to apply. It is important to remember the order of the functions and derivatives in the numerator because they are being subtracted.

Please watch the video, print the homework page and complete the work and then check your work against the homework key.

Video: 6-4 quotient rule

Homework page: calc 6-4 questions.pdf

Homework key: calc 6-4 key.pdf

Please watch the video, print the homework page and complete the work and then check your work against the homework key.

Video: 6-4 quotient rule

Homework page: calc 6-4 questions.pdf

Homework key: calc 6-4 key.pdf

## 6.5 The Chain Rule

You will need to print the Differentiation Rules sheet before moving on. Click on the red letters to the left and print the page.

The video for this section is very long. The chain rule is usually used in conjunction with one of the other differentiation rules which makes the examples/work very long.

Please watch the video, print the homework page and complete the work and then check your work against the homework key.

Video: vimeo.com/252108156

Homework page: calc 6-5 questions.pdf

Homework key: calc 6-5 key.pdf

The video for this section is very long. The chain rule is usually used in conjunction with one of the other differentiation rules which makes the examples/work very long.

Please watch the video, print the homework page and complete the work and then check your work against the homework key.

Video: vimeo.com/252108156

Homework page: calc 6-5 questions.pdf

Homework key: calc 6-5 key.pdf

## 6.6 Implicit Differentiation

So far all of the differentiation that you have done has been on functions where the y or f(x) has been isolated to one side of the equation. This section shows how to differentiate when you cannot easily isolate the y in the equation.

Please watch the video, print the homework page and complete the work and then check your work against the homework key.

Video: vimeo.com/252111468

Homework page: calc 6-6 questions.pdf

Homework key: calc 6-6 key.pdf

Please watch the video, print the homework page and complete the work and then check your work against the homework key.

Video: vimeo.com/252111468

Homework page: calc 6-6 questions.pdf

Homework key: calc 6-6 key.pdf

## 6.7 Higher Derivatives

So far you have been finding the first derivative but sometimes it is possible find a second, third, and so on, derivative. This section shows how this can be done.

Please watch the video, print the homework page and complete the work and then check your work against the homework key.

Video: vimeo.com/252289648

Homework page: calc 6-7 questions.pdf

Homework key: calc 6-7 key.pdf

Please watch the video, print the homework page and complete the work and then check your work against the homework key.

Video: vimeo.com/252289648

Homework page: calc 6-7 questions.pdf

Homework key: calc 6-7 key.pdf

## Finish off the unit

When you have completed all the assigned work and reviewed it please see Mrs. Buck for your unit test.