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Solve problems using the Newton-Raphson method.
Remarks
Example 1: Use three iterations of Newton’s method to approximate the zero(s) of f(x) = x – cosx.Example 2: Approximate the zero(s) of the function f(x) = 1 – 2x3 using Newton’s Method. Continue until two successive approximations differ by less than 0.001.
General Information
Subject Area: Mathematics
Grade: 912
Domain-Subdomain: Calculus
Cluster: Level 3: Strategic Thinking & Complex Reasoning
Cluster: Applications of Derivatives - Apply knowledge about derivatives to find slopes of curves and the related tangent lines. Analyze and graph functions, finding where they are increasing or decreasing, their maximum and minimum points, their points of inflection, and their concavity. Solve optimization problems, find average and instantaneous rates of change (including velocities and accelerations), and model rates of change. Find slopes and equations of tangent lines, maximum and minimum points, and points of inflection. Solve optimization problems, and find rates of change.
Date Adopted or Revised: 02/14
Content Complexity Rating:
Level 3: Strategic Thinking & Complex Reasoning
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More Information
Date of Last Rating: 02/14
Status: State Board Approved - Archived
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