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### differentials-as-approx

Course: ECON 345, Fall 2011
School: Wilfrid Laurier
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dierence The between dy and y dy is an approximation found by moving along the tangency. y is the dierence between two points on the actual function y = f (x). Given the function y = x2 the dierential is dy = 2xdx suppose x = 2 and = dx :01 then the dierential, dy is dy = 2xdx = 2(2)(:01) = :04 The other change y is given by y y = (x + dx)2 x2 = (2:01)2 (2)2 = 0:0401 See the Graph for the dierence y y = x2...

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dierence The between dy and y dy is an approximation found by moving along the tangency. y is the dierence between two points on the actual function y = f (x). Given the function y = x2 the dierential is dy = 2xdx suppose x = 2 and = dx :01 then the dierential, dy is dy = 2xdx = 2(2)(:01) = :04 The other change y is given by y y = (x + dx)2 x2 = (2:01)2 (2)2 = 0:0401 See the Graph for the dierence y y = x2 D 4.0401 y C dy A 4 2 1 y B dx 2.01 x
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Wilfrid Laurier - ECON - 345
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Wilfrid Laurier - MATH - 170
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