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How Newton-Raphson Works: Just Follow the Tangent Line
The whole Newton-Raphson method in one idea: stand on the curve, slide down the tangent to the x-axis, that's your next guess. Repeat. We run it on f(x) = x³ − x − 2 and watch the error collapse from 0.48 to 0.00006 in three steps. Episode 3 of Numerical Methods. Full derivation + worked example + convergence proof in the main video. Full ...
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