Steps 
Key Sequence 
Screens 
1. Input Function or PiecewiseDefined Function into Y1. 
Press DIAMOND key, then F1 key (for Y=) 


Type the function 

2. Input Derivative Function into Y2. 
Press CATALOG, then the comma key 


Press ENTER 


Type y1(x) 


Press comma, then the independent variable, x 


Press ')', then ENTER 

3. Go to Home screen 
Press 2^{nd}, then ESC 

Note: The formula for Newton's Method is
x_{n + 1} = x_{n} – f(x_{n})/f ′(x_{n})
where f(x) is y1(x) and f ′(x) is y2(x). 
4. Store initial approximation, x_{0} into the variable x 
Input number 


Press STO key, then X, then ENTER 

5. Calculate the next approximation, x_{1}, and store into the variable x 
Type: xy1(x)/y2(x), then STO, then X, then ENTER 

6. Calculate the next approximation, x_{2}, and store into the variable x 
Press ENTER 

7. Repeat Step 6, as necessary 


Note: In this case, the root of the function is x = –1.2419. 