1 / 11

The Product Rule

The Product Rule. Brought To You By Tutorial Services The Math Center. The Product Rule. This rule is used when there are two or more functions being multiplied.

ruana
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 Brought To You By Tutorial Services The Math Center

  2. The Product Rule • This rule is used when there are two or more functions being multiplied. • The derivative of (f(x))*(g(x)) is the first function times the derivative of the second plus the second function times the derivative of the first. • When using the product rule, the order in which you derive doesn’t matter.

  3. EXAMPLE 1 Product Rule: • Typically, f(x) is chosen as the first function, and g(x) as the second function, however, changing their order will not affect the solution.

  4. Simplify: Applying the Product Rule:

  5. Rewrite: Product Rule: Applying the Product Rule: EXAMPLE 2

  6. CONTINUED Combining like terms and simplifying:

  7. Product Rule: • We can also apply the Product Rule for more than two functions. • We can rewrite the Product Rule in this manner: PRACTICE SAMPLE • For more functions we can keep rewriting the Product Rule by following the pattern.

  8. Applying the Product Rule: CONTINUED

  9. Final Answer: CONTINUED (9x²+4)(x-5)(x+1)=(9x4-36x³-45x²+4x²-16x-20) (3x³+4x)(1)(x+1)=(3x4+3x³+4x²+4x) (3x³+4x)(x-5)(1)=(3x4-15x³+4x²-20x)

  10. QUESTIONS

  11. Product Rule Links • Product Rule Workshop Handout • Product and Quotient Rules Handout

More Related