Local Linearity Worksheet

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UHS AP Calculus ABLocal Linear Approximations

For a smooth and continuous function , we know the following y-values and the following slopes, , of the tangent lines at the given x-values:

Use a local linear approximation to estimate the following y-values:1. 2.

3. 4.

5. 6.

7. 8.

9. 10.

For a smooth and continuous function , we know the following y-values and the following slopes, , of the tangent lines at the given x-values:

Use a local linear approximation to estimate the following y-values:1. 2.

3. 4.

5. 6.

7. 8.

9. 10.