) and how does one calculate it ?Thanks for your belief :)BvU said:I believe you. But PF guidelines require you post your own attempt before assistance is allowwed.
So: what are we talking about ? What is a fluxion a la Newton (sounds like a recipe
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Newton's method is a mathematical algorithm used to find the roots of a given function. It is based on the concept of using the derivative of a function to approximate the roots.
Newton's method works by starting with an initial guess for the root and then using the derivative of the function at that point to calculate a new and hopefully better approximation. This process is repeated until the desired level of accuracy is achieved.
The ratio of the fluxion of x is used to determine the rate of change of a function at a specific point. This information can be useful in many scientific and mathematical applications, such as optimization problems and numerical analysis.
The ratio of the fluxion of x is calculated by taking the derivative of the function and then using Newton's method to find the root of the derivative. This root represents the ratio of the fluxion of x at the given point.
Newton's method can only find an approximation of the root, not the exact value. It also requires an initial guess for the root, which may not always be accurate. Additionally, it may not converge or may converge to a wrong root if the function is not well-behaved or has multiple roots.