There are multiple and conflicting theories on the origin of the word Sabbatical. It relates to both the Latin Sabbat and the Hebrew Shabbath, both of which can refer to the sixth day of the week, a day of rest, a time period recurring in sevens, or on every seventh (day, month, year, etc), and the ceasing of something. If you mean Pagan in the sense of non-Christian usage, then yes it is a derivative of a pagan term.
sabbatical Vacation
pagan or irreligious
The Pagan worships idols. A Druid is a Pagan.
This is an example of a sentence using the word derivative. The teacher liked it when the student used the derivative of the trash words
I have a good derivative.
English has many derivative words.
conserve
The English derivative for the Latin word "vita" is "vital."
The word "sabbatical" comes from the Hebrew word "shabbat," meaning "rest" or "cease." It originally referred to the biblical concept of taking a period of rest every seventh year, and later evolved to describe a period of extended leave granted to professionals for rest, study, or travel.
As far as capitalization, yes, because the word "sabbatical" is only capitalized when it refers to the Sabbath. The term originally applied to a one-year period, but can vary.
The Latin word for a pagan altar is ara. Most altars were pagan in Roman times.
derivative anagram