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Chapter 1 / Exercise 6
College Algebra
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5.5 Linearization and Differentials November 01, 2017 5.5 Linearization and Newton's Method What is the equation of the line tangent to f(x) = x 2 at (1, 1)? 11/01/2017
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Chapter 1 / Exercise 6
College Algebra
Gustafson/Hughes Expert Verified
5.5 Linearization and Differentials November 01, 2017 For a function y = f(x), the equation of the tangent line at (a, f(a)) is or Definition: Linearization If f is differentiable at x = a, then the approximating function is the linearization of f at a. The approximation f(x) L(x) is the standard linear approximation of f at a. The point x = a is the center .
5.5 Linearization and Differentials November 01, 2017 Example: Find the linearization of Check our approximations: Y1 = Y2 = Y3 =
5.5 Linearization and Differentials November 01, 2017
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