4.5: Linear Approximations, Differentials and Newton’s Method Greg Kelly, Hanford High School, Richland, Washington.
DERIVATIVES 3. 3.9 Linear Approximations and Differentials In this section, we will learn about: Linear approximations and differentials and their applications.
Section 3.9 - Differentials. Local Linearity If a function is differentiable at a point, it is at least locally linear. Differentiable.
DERIVATIVES 3. We have seen that a curve lies very close to its tangent line near the point of tangency. DERIVATIVES.
Copyright © Cengage Learning. All rights reserved. 2 Derivatives.
Linearization, Related Rates, and Optimization. The linearization is the equation of the tangent line, and you can use the old formulas if you like. linearization.
My First Problem of the Day:. Point-Slope Equation of a Line: Linearization of f at x = a: or.
11 INFINITE SEQUENCES AND SERIES. 11.11 Applications of Taylor Polynomials INFINITE SEQUENCES AND SERIES In this section, we will learn about: Two types.
Understanding Calculus is Largely Locally Linear Dan Kennedy Pearson Author.
Linearization and Newton’s Method. I. Linearization A.) Def. – If f is differentiable at x = a, then the approximating function is the LINEARIZATION of.
For any function f (x), the tangent is a close approximation of the function for some small distance from the tangent point. We call the equation of the.
LINEARIZATION AND NEWTON’S METHOD Section 4.5. Linearization Algebraically, the principle of local linearity means that the equation of the tangent.