1 / 14

The Product Rule

The Product Rule. Today, students will analyze a proof of the Product Rule and learn when to apply the Product Rule. Today, you are going to find the derivative of functions of the form j(x)=f(x) · g(x). Some of these are easy to do using algebra to expand ahead of time:.

Download Presentation

The Product Rule

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. The Product Rule Today, students will analyze a proof of the Product Rule and learn when to apply the Product Rule

  2. Today, you are going to find the derivative of functions of the form j(x)=f(x)·g(x). Some of these are easy to do using algebra to expand ahead of time: Do you notice any patterns?

  3. Try some more difficult cases: Do you notice any patterns?

  4. Let’s consider a function that’s not easy to expand: It would be nice to develop a method to differentiate the product of two functions. Explain how the function above can be modeled as j(x)=f(x)·g(x).

  5. The Derivative of a Product When Hana looked at the function j(x)=f(x)·g(x) she immediately thought of a rectangle whose length and width were f(x) and g(x)and whose area was j(x).Hana would like to find j’(x) by using the definition of the derivative as a limit.

  6. The Derivative of a Product

  7. The Derivative of a Product

  8. The Derivative of a Product

  9. The Derivative of a Product

  10. Using your result:

  11. This is the Product Rule:

  12. Sneaky Product Rule Problems:

  13. Assignment: • HW R • See you tmrrw!!!

More Related