Lesson09_-_The_Product_and_Quotient_Rules_ws

# Lesson09_-_The_Product_and_Quotient_Rules_ws - g is an...

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Worksheet for Section 2.4 The Product and Quotient Rules V63.0121, Calculus I Spring 2010 1. Evaluate the derivative of each of the following functions. (i) y = x sin( x ) (ii) f ( t ) = sin( t ) + sin( π ) + t e (iii) x ( t ) = t 3 - 2 t + 4 cos( t ) + 2 (iv) y = sin( x ) - cos( x ) 2 (v) f ( x ) = ( x 2 - 2 x + 5) sin( x ) 1

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(vi) x ( t ) = t 3 - 2 t + 4 t 3 - t + 2 (vii) ( x 2 - 7 x + 4)( x 3 - x + 3) (viii) y = x x 2 - x + 5 (ix) f ( x ) = cos( x )( x 2 + 1) g ( x ), where
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Unformatted text preview: g is an unknown diﬀerentiable function. (x) f ( x ) = ( x 5-3 x 2-4) √ x 2. Let f and g be the functions whose graphs are shown below and u ( x ) = f ( x ) g ( x ) and v ( x ) = f ( x ) /g ( x ) x y-4-4-2-2 2 2 4 4 (i) Find u (1). (ii) Find v (1). 2...
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## This note was uploaded on 07/19/2010 for the course MATHEMATIC V63.0121 taught by Professor Leingang during the Spring '09 term at NYU.

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Lesson09_-_The_Product_and_Quotient_Rules_ws - g is an...

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