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The phrase "when I first derived" is correct and usable in written English.
You can use it when referring to the initial moment or experience of obtaining or calculating something, often in a mathematical or scientific context. Example: "When I first derived the equation, I was surprised by the simplicity of the solution."
Exact(1)
(When I first derived the single-locus probabilities in Table 2, I was confused about why the results involve 5, when the numbers are all clearly rational).
Similar(59)
When I first witnessed the increasingly intense stag battle between spokesmen for (respectively) today's pragmatism and the liberationist psychology derived from the 1960's guru R. D. Laing, I wondered if the shrinks were not only madder than their patient but also too mad to be believed.
When I first started writing, I wasn't confident setting stories in America, but, now, with experiences and memories deriving from China and America, I feel comfortable writing about both countries.
I cried when I first saw it".
I was when I first saw him.
"When I first got it, I cried.
That was when I first started out.
That was when I first got noticed".
"I was upset a little bit when I first heard.
"When I first got on the train, I was shocked.
But when I first went, I found nobody cared.
More suggestions(2)
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com