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# 3_2 - (textbook Example 5 of Section 3.2(textbook...

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Section 3.2: The Product and Quotient Rules Instructor: Ms. Hoa Nguyen The Product Rule If f and g are differentiable, then d dx [ fg ] = df dx g + dg dx f ( fg ) = f g + g f . Example 1 of Section 3.2 (textbook): Example 2 of Section 3.2 (textbook): Example 3 of Section 3.2 (textbook): Remark : ( fg ) = f g . The Quotient Rule If f and g are differentiable, then d dx [ f g ] = df dx g - dg dx f g 2 ( f g ) = f g - g f g 2 . Example 4 of Section 3.2
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Unformatted text preview: (textbook): Example 5 of Section 3.2 (textbook): Example (Note of Section 3.2) (textbook): f ( x ) = 3 x 2 +2 √ x x ⇒ f ( x ) = Question Why don’t we use the Quotient Rule every time we encounter a quotient? Answer Sometimes algebraic simpliﬁcation can make the problem much easier. 1...
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