Newton Raphson Works Great, Until It Doesn't - Part 2

Calculus Level 2

Consider the real valued function given by \( f(x) = \sqrt[3]{x} \). If we apply the Newton Raphson method with the approximate root \( x_0 = 0.2 \), which root would we converge to?

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Newton Raphson Works Great, Until It Doesn't - Part 2

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 5 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.