I'm trying to find an approximation for $11^{\frac{1}{3}}$ by using Newton's method using $x_0 = \frac{3}{2}$. Now my problem only tells me to use a "suitable" function and that threw me off quite a bit. I know this is kind of a weak question, but could anyone explain/give me a hint how I can find a suitable function?
2025-01-13 00:13:58.1736727238
Approximate a value using Newton's method
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You want to find a root of the polynomial $f(x) = x^3 - 11$.