Slide 14.5: Linear Approximations, Differentials and Newton’s Method Greg Kelly, Hanford High School, Richland, Washington Slide 2 For any function f (x), the tangent is…
Slide 1 DERIVATIVES 3 Slide 2 3.9 Linear Approximations and Differentials In this section, we will learn about: Linear approximations and differentials and their applications.…
Slide 1 Section 3.9 - Differentials Slide 2 Local Linearity If a function is differentiable at a point, it is at least locally linear. Differentiable Slide 3 Local Linearity…
Slide 1 DERIVATIVES 3 Slide 2 We have seen that a curve lies very close to its tangent line near the point of tangency. DERIVATIVES Slide 3 In fact, by zooming in toward…
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 of f at…
My First Problem of the Day: If you zoom in on the graph of y = at the point (1, 2), it comes to resemble a line. Graph the function in the ZDecimal window, trace to (1,…
Understanding Calculus is Largely Locally Linear Dan Kennedy Pearson Author My Class’s First Problem of the Day: If you zoom in on the graph of y = at the point (1, 2),…
Notes 2.1 - Limits Notes 4.5 Linearization and Newtonâs Method I. Linearization A.) Def. â If f is differentiable at x = a, then the approximating function is the LINEARIZATION…
For any function f (x), the tangent is a close approximation of the function for some small distance from the tangent point. The linearization is the equation of the tangent…