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

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Presentation transcript:

What is y=L(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

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

Example: 081

Example: 092 (a) 0,014 (b) (c) 0.01 (d) (e) 0.045

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

Example: F091