The Product and Quotient Rules and Higher –

The Product and Quotient Rules and Higher –...

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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 + =
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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 =
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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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This note was uploaded on 12/01/2011 for the course MATH 112 taught by Professor Jarvis during the Fall '08 term at BYU.

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The Product and Quotient Rules and Higher –...

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