AP Calculus AB: Lesson 93 Newton's Method Newton’s Method

Slides:

Advertisements

Similar presentations

Equation of a line y = m x + b

Advertisements

The table and graph suggest another method of graphing a linear equation. This method is based on two numbers. The SLOPE This is the coefficient of x.

Equations of Tangent Lines

Find the slope of the tangent line to the graph of f at the point ( - 1, 10 ). f ( x ) = 6 - 4x

Derivatives - Equation of the Tangent Line Now that we can find the slope of the tangent line of a function at a given point, we need to find the equation.

Lesson 5.1 Write Equations in Slope-Intercept Form.

x y no x y yes.

Find the x and y intercepts of each graph. Then write the equation of the line. x-intercept: y-intercept: Slope: Equation:

Linear Equations Complete the table: xy

LINEAR SYSTEMS – Graphing Method In this module, we will be graphing two linear equations on one coordinate plane and seeing where they intersect. You.

Graphing Test Review Algebra. Express the relation as a set of ordered pairs and the inverse. xy

Lesson 2.7 AIM: How to find the slope and equation of a line using two points.

Answers. Write the Formulas Slope Formula y₂-y₁ x₂-x₁ Point Slope Form y-y₁=m(x-x₁) Slope-intercept Form y=mx+b.

There are three ways in which we can solve for slope: Slope = RISE RUN 1. Use the formula and count the spaces on a graph. = 2323.

Distance and Midpoint Intercepts Graphing Lines Graphing Circles Random.

Ms. Battaglia AP Calculus. Estimate y(4) with a step size h=1, where y(x) is the solution to the initial value problem: y’ – y = 0 ; y(0) = 1.

Graphing Linear Equations In Standard Form Ax + By = C.

Unit 3. Day 10 Practice Graph Using Intercepts.  Find the x-intercept and the y-intercept of the graph of the equation. x + 3y = 15 Question 1:

Review after Christmas!. Solve the below equations for the variable..5 (6x +8) = 16 1.

Use Linear Equations in Slope- Intercept Form Lesson 5.2 OBJ: to write an equation of a line using points on the line.

Slope. 10/27 Warm- up How to tell if a slope is positive.

Lesson 3.5 Essential Question: How can you describe the graph of the equation y=mx+b? `Objectives: Finding the slope of a line Finding the slope of a line.

Day 9 Geometry.

Determine the x and y intercepts. Find the card that matches.

Writing Linear Equations

PAP Algebra 2 – Do Now! Graph the following function by using only the vertex and x and y intercepts. f(x) =

Review of Slope LESSON 10.

Equations of Lines.

5.5 a Writing Linear Equations in Standard Form

Concentric and Tangent Circles

Deriving and Integrating Logarithms and Exponential Equations

Tangent Lines & Rates of Change

Chapter 1: Lesson 1.3 Slope-Intercept Form of a Line

2.4 Writing the Equation of a Line

Point-Slope Form Slope-Intercept Form

Linear Models and Rates of Change

Chapter 1: Lesson 1.2 Graphs of Equations

Polar Coordinates and Polar Graphs

Implicit Differentiation

Lesson 8-3 Using Slopes and Intercepts part 2

Finding the equation of a line

8/29/12 Writing the Equation of a Line

4.10 Write Quadratic Functions and Models

Quick Graphs Using Slope-Intercept Form

Slope Intercept Form Lesson 6-2.

Before we start this lesson

2.5 Writing Equations in Slope Intercept Form

5.6 – point slope formula Textbook pg. 315 Objective:

4.7 Graphing Lines Using Slope-Intercept Form

Write the equation for the following slope and y-intercept:

Unit 7, Lesson 1 Trigonometry / Pre-Calculus

Graph 2x + 4y = 16 by finding the x and y intercepts.

2-4: Writing Linear Equations Using Slope Intercept Form

Example: find the equation of the line on this graph...

Keeper 2 Honors Calculus

Section 2.1 Day 2 Derivatives

L2-5 Objective: Students will solve and graph equations and inequalities involving absolute values Absolute Value Function Parent Function.

Write Linear Equations

Graphing Linear Equations

2.4 Writing Equations of Lines

5 Minute Check 1-4 Graph the equation : 2x + y – 4 = 0

Write Linear Equations

5.7 Point-Slope Form Pg. 341.

Objectives: To graph lines using the slope-intercept equation

2.4 Writing the Equation of a Line

2.4A Writing Equations of Lines

Y X Equation of Lines.

CALCULUS Problem Bank Newton’s method.

1: Slope from Equations Y = 8x – 4 B) y = 6 – 7x

Slope Intercept Form Algebra 1 Unit 4 Lesson 2.

Presentation transcript:

AP Calculus AB: Lesson 93 Newton's Method Newton’s Method

AP Calculus AB: Lesson 93 Newton's Method Start at x=4 Tangent Line y-f(4)=f’(4)(x-4) Follow it up the graph. x-intercept 0-4.64025=12.187501(x-3.25) x-intercept X=2.86926157 Tangent Line y-f(3.25)=f’(3.25)(x-3.25) Y-intercept 0-18=24(x-4) 4 - .75=x 3.25 = x Y-intercept 0-f(4)=f’(4)(x-4) Step 1: Find tangent line equation, L_1, at point (x_1,y_1) Step 2: Find x-intercept of tangent line, L_1. C Step 3: Find tangent line equation, L_2, at x_2, y_2. Step 4: Find x-intercept of L_2. Call it x_3. Etc. Repeat Steps until x_n and x_(n+1) are almost the same.

AP Calculus AB: Lesson 93 Newton's Method Newton's Formula

AP Calculus AB: Lesson 93 Newton's Method Practice Problem