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.