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What is y=L(x) ?

What is y=L(x) ?. The tangent line is considered as an approximation of the curve y=f(x). The tangent line is considered as an approximation of the curve y=f(x). is called the linear approximation or tangent line approximation. is called the linearization of f at a. Example: F091.

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What is y=L(x) ?

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  1. What is y=L(x) ? The tangent line is considered as an approximation of the curve y=f(x)

  2. The tangent line is considered as an approximation of the curve y=f(x) is called the linear approximationor tangent line approximation is called the linearizationof f at a.

  3. Example: F091

  4. Example: F091

  5. Differential We want to approximate Find the tangent line L(x) then use it to find

  6. Differential

  7. Example: 081

  8. Example: 092 • 0,014 • 0.001 • 0.01 • 0.021 • 0.045

  9. Next example illustrates the use of differentials in estimating the errors that occur because of approximate measurements. Example: F091

  10. Example: F091

  11. Example: F091

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