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1.15.08 Differentials

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1.15.08 Differentials

  1. 1. Linear Approximations <ul><li>Using the derivative of a function to find the slope of the tangent line, we can write an equation for the tangent line at a certain point, c : </li></ul><ul><li>This is really the point-slope form of a linear equation: </li></ul>
  2. 2. Linear Approximation of f(x)= 1+sin x at (0,1): Let’s Compare:
  3. 3. Differentials ( c,f(c))
  4. 4. Error Propagation Is this significant?

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