10/22/2012 Ex: Find dy/dx for the equation y 2 x 2 2y 4 x 4 Copyright © Houghton Mifflin Company. All rights reserved. Ex: Find dy/dx. a) x y 1 3x 2y Copyright © Houghton Mifflin Company. All rights reserved. 2|6 b) 2x y 2 1 x 5y 2|7 1 10/22/2012 Ex: Find dy/dx: 4 x 2 y 3 0 y Copyright © Houghton Mifflin Company. All rights reserved. 2|8 Ex: Find dy/dx by implicit differentiation and evaluate the derivative at the given point. x 3 y 3 2xy Copyright © Houghton Mifflin Company. All rights reserved. at 1,1 2|9 2 10/22/2012 Ex: Find the slope of the graph of x 2 9y 2 16 at the point (5, 1) Copyright © Houghton Mifflin Company. All rights reserved. 2 | 10 Ex: The demand function for a product is given by 2 Find dx/dp implicitly. p 2 0.001x x 1 Copyright © Houghton Mifflin Company. All rights reserved. 2 | 11 3 10/22/2012 ASSIGNMENT: p. 186-187 # 1-41 every other odd Copyright © Houghton Mifflin Company. All rights reserved. 2 | 12 4
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