Question

Use the Golden Search Method to find the minimum of the function between the interval [0,6]. The minimum of this function occurs at the value of x where the derivative is equal to 0. The method iteratively narrows down the interval to find the minimum.

Answer 1

The Golden Search Method is a technique to find the minimum of a function using properties of derivatives to iteratively narrow down the interval of interest.

Step-by-step explanation:

The question requires using the Golden Search Method to find the minimum of a given function within a certain interval. The function is not fully specified, but one should use the properties of the function's derivative to narrow down the interval where the minimum occurs iteratively. The student is expected to understand calculus concepts such as finding zeros of the potential energy function and analyzing first and second derivatives to locate the extrema.