1. Collect Homework.
2. Newton's Method
Newton's Method is a means of approximating the roots of an equation. Graphing calculators have a "Solver" feature which uses Newton's Method for its algorithm. This method assumes that the tangent line is a close approximation of the curve itself.
3. Example:
Repeat this process until your approximation is within the desired bounds.
Remarks:
1. This does not work if the derivative of your initial guess is 0. Pick a new starting point.
2. This does not always converge.
4. Example:
5. Recursive formula for Newton's Method:
