![]() For xn values, the Newton Raphson formula will be, ![]() ![]() This method continuously repeats itself until we get the exact root of the function. Assume that f(x) is a continuous and differentiable function, then there will be a point x0 near to x such that, The Newton-Raphson method is an application of derivative that plays a major role in finding approximated root of an equation. It uses the concept of continuity and differentiability and approximates a function by the slope of the tangent line. They developed this method to find successive approximations of a single-valued function defined on a real-valued variable. Newton Raphson method is named after two English mathematicians, Isaac Newton and Joseph Raphson. Newton Raphson method is a technique in numerical analysis which is used to approximate a function to find its root. These are all main branches of mathematics that use derivative to solve problems. Understanding of the Newton-Raphson MethodÄerivative has many applications in calculus, numerical analysis, algebra, geometry and trigonometry. Let us understand how to implement the NR method and what are the practical considerations for it. It is also known as Newton method or iterative method and it can be denoted as NR method. If a function’s derivative is zero, the Newton Raphson method fails. It required a function to be continuous and differentiable. Newton Raphson method is a numerical technique of finding the root of an equation by using derivatives.
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