Topic explanation

Standard explanation

Use x(n+1)=xn-f(xn)/f'(xn); good starting values often give rapid convergence.

Key points

• Newton-Raphson method
• rule
• worked example
• Newton-Raphson method: Use x(n+1)=xn-f(xn)/f'(xn); good starting values often give rapid convergence.
• CONCEPT AND RULE: Use x(n+1)=xn-f(xn)/f'(xn); good starting values often give rapid convergence.
• METHOD: For newton-raphson method, identify the given information and required result. Select the matching d
• Use x(n+1)=xn-f(xn)/f'(xn); good starting values often give rapid convergence.
• Worked pattern: For x²-2, x0=1.5 gives x1=1.5+21.52=1.4167.

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