# 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).