Slide 2 The Product Rule Brought To You By Tutorial Services The
Math Center Slide 3 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 doesnt
matter. Slide 4 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. Slide 5
Simplify: Applying the Product Rule: Slide 6 EXAMPLE 2 Rewrite:
Product Rule: Applying the Product Rule: Slide 7 CONTINUED
Combining like terms and simplifying: Slide 8 PRACTICE SAMPLE
Product Rule: We can also apply the Product Rule for more than two
functions. We can rewrite the Product Rule in this manner: For more
functions we can keep rewriting the Product Rule by following the
pattern. Slide 9 CONTINUED Applying the Product Rule: Slide 10
CONTINUED (9x+4)(x-5)(x+1)=(9x 4 -36x-45x+4x-16x-20)
(3x+4x)(1)(x+1)=(3x 4 +3x+4x+4x) (3x+4x)(x-5)(1)=(3x 4 -15x+4x-20x)
Final Answer: Slide 11 QUESTIONS Slide 12 Product Rule Links
Product Rule Workshop Handout Product Rule Workshop Handout Product
Rule Workshop Handout Product Rule Workshop Handout Product and
Quotient Rules Handout Product and Quotient Rules Handout Product
and Quotient Rules Handout Product and Quotient Rules Handout
