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2311lectureoutline3.2

# 2311lectureoutline3.2 - so far d c dx = 1 n n d x nx dx-= x...

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MAC2311, Calculus I 3.2 Derivatives of Products and Quotients The Product Rule : If f(x) and g(x) are both differentiable, then [ ] [ ] [ ] ( ) ( ) ( ) ( ) ( ) ( ) d d d f x g x f x g x g x f x dx dx dx = + The Quotient Rule : If f(x) and g(x) are both differentiable, then [ ] [ ] [ ] 2 ( ) ( ) ( ) ( ) ( ) ( ) ( ) d d g x f x f x g x d f x dx dx dx g x g x - ° ± = ² ³ ´ µ Here’s a summary of all of the derivative rules that we’ve learned
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Unformatted text preview: so far: ( ) d c dx = 1 ( ) n n d x nx dx-= ( ) x x d e e dx = ( ) cf cf ′ ′ = ( ) f g f g ′ ′ ′ ± = ± ( ) fg fg gf ′ ′ ′ = + 2 f gf fg g g ′ ′ ′ ¶ ·-= ¸ ¹ º » Let’s try exercises 20, 22, 24, 32, 40, 46, on page 188 in the text....
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