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The Product and Quotient Rules and Higher &acirc;€“

# The Product and Quotient Rules and Higher &acirc;€“...

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The Product & Quotient Rules and Higher – Order Derivatives Section 2.3

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Thm. 2.7 The Product Rule [ ] ) ( ' ) ( ) ( ' ) ( ) ( ) ( x f x g x g x f x g x f dx d + =
Thm. 2.8 The Quotient Rule [ ] 0 ) ( , ) ( ) ( ' ) ( ) ( ' ) ( ) ( ) ( 2 - = x g x g x g x f x f x g x g x f dx d

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Derivatives of Trig. Functions [ ] x x dx d 2 sec tan = [ ] x x dx d cot csc csc - = [ ] x x dx d 2 csc cot - = [ ] x x x dx d tan sec sec =
Higher Order Derivatives Position Function: s(t) Velocity Function:

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Unformatted text preview: v(t) = s’ (t) Acceleration Function: a(t) = v’(t) = s ” (t) Joke Time Why did the pony cough when he had a cold? He was a little horse! What happened when the pig pen broke? All the pigs had to use a pencil....
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The Product and Quotient Rules and Higher &acirc;€“...

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