Newton's method

This is a demonstration using Newton's method to approximate solutions to the equation \(\frac{9}{2}\cos^2\left(\frac{x}{3}\right) - \frac{x}{4} = 0.\)

Use the "Find next" button to find successive approximations. To change the initial guess, insert the new value and click on "Restart" (8.8995 is an interesting starting value).

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