Lesson18_-_Derivatives_and_the_Shape_of_Curves_ws

# Lesson18_-_Derivatives_and_the_Shape_of_Curves_ws - (b) Use...

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Worksheet for Section 4.2 Derivatives and the Shapes of Curves Spring 2010 1. Let f ( x ) = x 3 - 6 x 2 - 9 x + 2. (a) Find the intervals on which f is increasing and decreasing (b) Use the ﬁrst derivative test to ﬁnd the local maxima and minima (c) Find the intervals on which f is concave up and concave down (d) Use the second derivative test to ﬁnd the local maxima and minima 1

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2. Let f ( x ) = x 4 - 2 x 3 - 2. (a) Find the intervals on which f is increasing and decreasing
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Unformatted text preview: (b) Use the rst derivative test to nd the local maxima and minima (c) Find the intervals on which f is concave up and concave down (d) Use the second derivative test to nd the local maxima and minima 3. You have two ways to determine whether a critical point is a local extremum and which kind. Discuss the situations where one might be more suitable than the other. 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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Lesson18_-_Derivatives_and_the_Shape_of_Curves_ws - (b) Use...

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