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

2. is called the linear approximation or tangent line approximation is called the linearization of f at a.

3. Example: F091

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

8. Example: 081

9. Example: 092 (a) 0,014 (b) 0.001 (c) 0.01 (d) 0.021 (e) 0.045

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

11. Example: F091