Do I apply the univariate or the multivariate version of the Newton-Raphson iterative method to this equation?

numerical-methods newton-raphson

Solution 1:

As angryavian said in the comments, you have a univariate function, since your function consists only a single variable, which is $x$.

A multivariate function would be a function which consists more than one variables, such as $f(x,y) = x^2 - y^2 + xy$ for example.

Thus, you need to use the univariate version of N-R for your minimization problem.

By the way, from Wikipedia: "In mathematics, a univariate object is an expression, equation, function or polynomial involving only one variable. Objects involving more than one variable are multivariate."

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