differentials-as-approx

differentials-as-approx - xdx = 2(2)( : 01) = : 04 The...

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The di/erence between dy and y dy is an approximation found by moving along the tangency. y is the di/erence between two points on the actual function y = f ( x ) . Given the function y = x 2 the di/erential is dy = 2 xdx suppose x = 2 and dx = : 01 then the di/erential, dy is dy = 2
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Unformatted text preview: xdx = 2(2)( : 01) = : 04 The other change & y is given by & y = ( x + dx ) 2 & x 2 & y = (2 : 01) 2 & (2) 2 = 0 : 0401 See the Graph for the di/erence A B C D dy dx 2 2.01 4 4.0401 y y = x 2 y x y 1...
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