1.9.08 Newtons Method
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Newton's Method is an iterative method for finding zeros of a function by starting with an initial guess and using the function's derivative to generate a sequence of improved approximations that converge on a zero, with each new approximation determined by the previous one. The steps are to make an initial guess, determine a new approximation using the formula provided, and repeat until the desired accuracy is reached.
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1.9.08 Newtons Method
- 1. Newton’s Method Method for approximating zeros of a function. Involves estimating the value of the zero, then using the derivative of the function to obtain a better estimate
- 5. Steps for Newton’s Method Make an initial guess. Determine a new approximation using: Repeat until the desired level of accuracy is reached.
- 6. Use Newton’s Method to Find the zero shown to within 0.0001. 4 3 2 1 n