crms calculus 2010 april 5, 2010

8
1 Auntie Derivative and her Family of Functions An antiderivative is a family of functions

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Introduction to slope fields

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Page 1: CRMS Calculus 2010 April 5, 2010

1

Auntie Derivative andher Family of Functions

Anantiderivativeis a familyof functions

Page 2: CRMS Calculus 2010 April 5, 2010

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http://www.calculusapplets.com/slopefields.html

http://www.calculusapplets.com/introdiffeq.htmlhttp://math.hws.edu/eck/math131/s05/applets.html

Find the slope @ each (x, y) for  dydx = 2x

Page 3: CRMS Calculus 2010 April 5, 2010

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Page 4: CRMS Calculus 2010 April 5, 2010

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Page 5: CRMS Calculus 2010 April 5, 2010

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y = x2/4 ­ x + 2

Page 6: CRMS Calculus 2010 April 5, 2010

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y = x3/3 ­ x + 7/3

Page 7: CRMS Calculus 2010 April 5, 2010

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y = sin x + 4

Page 8: CRMS Calculus 2010 April 5, 2010

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y = 1/x + 2