As a general rule

If the verb is am/are/is/was the adverb never is placed after the verb

Example -

I am never late for school

But in the following sentence

I am determined never to yield this point

never is used after determined

I think the sentence should be

I am never determined to yield this point.

Am I right in this analysis?


No; that would entirely change the meaning of the sentence, from saying you are never going to yield to saying you are never determined. It would be like changing

I am certain I will never win.


I am never certain I will win.

Think of "never" as meaning "not ever" (https://www.merriam-webster.com/dictionary/never) - then you want to say that you will not ever yield, not that you are not ever determined.

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