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

2. 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
= (x-3.25)
x-intercept X=
Tangent Line
y-f(3.25)=f’(3.25)(x-3.25)
Y-intercept
0-18=24(x-4) =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.

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

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