Graphically, where is a root of f(x)=0f(x)=0f(x)=0 found?
At an xxx-coordinate where y=f(x)y=f(x)y=f(x) crosses or touches the xxx-axis.
The formula requires division by zero.
If f′(xn)f'(x_n)f′(xn) is very close to zero, the tangent may intercept the xxx-axis far away. A poor starting value may lead to a different root.
x1≈1.347826087x_1\approx1.347826087x1≈1.347826087.
Flashcards for OCR A Level Maths 1.9.4 Newton-Raphson method (A-level only), covering the key formulae, methods and definitions you need to recall for Paper 1, Paper 2 and Paper 3. 24 cards, matched to the OCR A Level Maths (H240) specification. Recall questions account for roughly 50% of marks at A Level Maths, so these target the marks you can secure before the paper starts.